diff --git a/pallets/admin-utils/src/lib.rs b/pallets/admin-utils/src/lib.rs
index 7de39aa38a..90e0c12929 100644
--- a/pallets/admin-utils/src/lib.rs
+++ b/pallets/admin-utils/src/lib.rs
@@ -554,7 +554,7 @@ pub mod pallet {
         }
 
         /// The extrinsic sets the minimum burn for a subnet.
-        /// It is only callable by the root account or subnet owner.
+        /// It is only callable by the root account.
         /// The extrinsic will call the Subtensor pallet to set the minimum burn.
         #[pallet::call_index(22)]
         #[pallet::weight(<T as Config>::WeightInfo::sudo_set_min_burn())]
@@ -563,7 +563,7 @@ pub mod pallet {
             netuid: u16,
             min_burn: u64,
         ) -> DispatchResult {
-            pallet_subtensor::Pallet::<T>::ensure_subnet_owner_or_root(origin, netuid)?;
+            ensure_root(origin)?;
 
             ensure!(
                 pallet_subtensor::Pallet::<T>::if_subnet_exist(netuid),
diff --git a/pallets/subtensor/src/coinbase/run_coinbase.rs b/pallets/subtensor/src/coinbase/run_coinbase.rs
index 7516857b49..b57a085034 100644
--- a/pallets/subtensor/src/coinbase/run_coinbase.rs
+++ b/pallets/subtensor/src/coinbase/run_coinbase.rs
@@ -122,20 +122,26 @@ impl<T: Config> Pallet<T> {
                 netuid,
                 subnet_proportion
             );
-            // 3.7: Calculate subnet's TAO emission: E_s = P_s * E_m
-            let tao_in: u64 = mech_emission
-                .checked_mul(subnet_proportion)
-                .unwrap_or(I96F32::saturating_from_num(0))
-                .saturating_to_num::<u64>();
-            log::debug!(
-                "Subnet TAO emission (E_s) for netuid {:?}: {:?}",
-                netuid,
-                tao_in
-            );
-            // 3.8: Store the subnet TAO emission.
-            *tao_in_map.entry(*netuid).or_insert(0) = tao_in;
-            // 3.9: Store the block emission for this subnet for chain storage.
-            EmissionValues::<T>::insert(*netuid, tao_in);
+
+            // Only emit TAO if the subnetwork allows registration.
+            if Self::get_network_registration_allowed(*netuid)
+                || Self::get_network_pow_registration_allowed(*netuid)
+            {
+                // 3.7: Calculate subnet's TAO emission: E_s = P_s * E_m
+                let tao_in: u64 = mech_emission
+                    .checked_mul(subnet_proportion)
+                    .unwrap_or(I96F32::saturating_from_num(0))
+                    .saturating_to_num::<u64>();
+                log::debug!(
+                    "Subnet TAO emission (E_s) for netuid {:?}: {:?}",
+                    netuid,
+                    tao_in
+                );
+                // 3.8: Store the subnet TAO emission.
+                *tao_in_map.entry(*netuid).or_insert(0) = tao_in;
+                // 3.9: Store the block emission for this subnet for chain storage.
+                EmissionValues::<T>::insert(*netuid, tao_in);
+            }
         }
 
         // == We'll save the owner cuts for each subnet.
diff --git a/pallets/subtensor/src/tests/coinbase.rs b/pallets/subtensor/src/tests/coinbase.rs
index ff4908172e..fb7a927be8 100644
--- a/pallets/subtensor/src/tests/coinbase.rs
+++ b/pallets/subtensor/src/tests/coinbase.rs
@@ -389,3 +389,189 @@ fn test_total_issuance_after_coinbase() {
         );
     });
 }
+
+// Verifies that the total issuance after the coinbase is not changed when registration is disabled.
+// Includes TAO weight.
+// SKIP_WASM_BUILD=1 RUST_LOG=debug cargo test --package pallet-subtensor --lib -- tests::coinbase::test_registration_disabled_total_issuance_same --exact --show-output --nocapture
+#[test]
+fn test_registration_disabled_total_issuance_same() {
+    new_test_ext(1).execute_with(|| {
+        let netuid: u16 = 1;
+        add_network(netuid, 1, 0);
+        // Set TAO weight to 18%
+        SubtensorModule::set_tao_weight(I96F32::from_num(0.18).saturating_to_num::<u64>());
+        // Set owner cut to ~11.11%
+        SubtensorModule::set_subnet_owner_cut(u16::MAX / 9);
+        let total_coinbase_emission: I96F32 = I96F32::from_num(1_123_456_789);
+        let epsilon: u64 = 100;
+
+        // Define hotkeys and coldkeys
+        let hotkey_a: U256 = U256::from(1);
+        let hotkey_b: U256 = U256::from(2);
+        let hotkey_c: U256 = U256::from(3);
+        let coldkey_a: U256 = U256::from(100);
+        let coldkey_b: U256 = U256::from(101);
+        let coldkey_c: U256 = U256::from(102);
+
+        // Register neurons with decreasing stakes
+        register_ok_neuron(netuid, hotkey_a, coldkey_a, 0);
+        register_ok_neuron(netuid, hotkey_b, coldkey_b, 0);
+        register_ok_neuron(netuid, hotkey_c, coldkey_c, 0);
+
+        // Add initial stakes
+        SubtensorModule::add_balance_to_coldkey_account(&coldkey_a, 1_000);
+        SubtensorModule::add_balance_to_coldkey_account(&coldkey_b, 1_000);
+        SubtensorModule::add_balance_to_coldkey_account(&coldkey_c, 1_000);
+
+        // Swap to alpha
+        let total_tao: I96F32 = I96F32::from_num(300_000 + 100_000 + 50_000);
+        let total_alpha: I96F32 = I96F32::from_num(SubtensorModule::swap_tao_for_alpha(
+            netuid,
+            total_tao.saturating_to_num::<u64>(),
+        ));
+
+        // Set the stakes directly
+        // This avoids needing to swap tao to alpha, impacting the initial stake distribution.
+        SubtensorModule::increase_stake_for_hotkey_and_coldkey_on_subnet(
+            &hotkey_a,
+            &coldkey_a,
+            netuid,
+            (total_alpha * I96F32::from_num(300_000) / total_tao).saturating_to_num::<u64>(),
+        );
+        SubtensorModule::increase_stake_for_hotkey_and_coldkey_on_subnet(
+            &hotkey_b,
+            &coldkey_b,
+            netuid,
+            (total_alpha * I96F32::from_num(100_000) / total_tao).saturating_to_num::<u64>(),
+        );
+        SubtensorModule::increase_stake_for_hotkey_and_coldkey_on_subnet(
+            &hotkey_c,
+            &coldkey_c,
+            netuid,
+            (total_alpha * I96F32::from_num(50_000) / total_tao).saturating_to_num::<u64>(),
+        );
+
+        // Stake some to root
+        let stake_to_root: u64 = 10_000_000;
+        SubtensorModule::add_balance_to_coldkey_account(&coldkey_a, stake_to_root);
+        SubtensorModule::increase_stake_for_hotkey_and_coldkey_on_subnet(
+            &hotkey_a,
+            &coldkey_a,
+            netuid,
+            stake_to_root,
+        );
+
+        let alpha_price = SubtensorModule::get_alpha_price(netuid);
+        log::info!("alpha_price: {:?}", alpha_price);
+
+        // Get the total issuance
+        let mut total_issuance_before = TotalIssuance::<Test>::get();
+        log::info!("total_issuance_before: {:?}", total_issuance_before);
+
+        // Disable registration on the network
+        SubtensorModule::set_network_registration_allowed(netuid, false);
+        SubtensorModule::set_network_pow_registration_allowed(netuid, false);
+
+        // Run the coinbase
+        SubtensorModule::run_coinbase(total_coinbase_emission);
+
+        // Should be the same
+        let total_issuance_after = TotalIssuance::<Test>::get();
+        assert_abs_diff_eq!(
+            total_issuance_after,
+            total_issuance_before,
+            epsilon = epsilon
+        );
+    });
+}
+
+// Verifies that the TAO-in after the coinbase is not changed when registration is disabled.
+// Includes TAO weight.
+// SKIP_WASM_BUILD=1 RUST_LOG=debug cargo test --package pallet-subtensor --lib -- tests::coinbase::test_registration_disabled_tao_in_same --exact --show-output --nocapture
+#[test]
+fn test_registration_disabled_tao_in_same() {
+    new_test_ext(1).execute_with(|| {
+        let netuid: u16 = 1;
+        add_network(netuid, 1, 0);
+        // Set TAO weight to 18%
+        SubtensorModule::set_tao_weight(I96F32::from_num(0.18).saturating_to_num::<u64>());
+        // Set owner cut to ~11.11%
+        SubtensorModule::set_subnet_owner_cut(u16::MAX / 9);
+        let total_coinbase_emission: I96F32 = I96F32::from_num(1_123_456_789);
+        let epsilon: u64 = 100;
+
+        // Define hotkeys and coldkeys
+        let hotkey_a: U256 = U256::from(1);
+        let hotkey_b: U256 = U256::from(2);
+        let hotkey_c: U256 = U256::from(3);
+        let coldkey_a: U256 = U256::from(100);
+        let coldkey_b: U256 = U256::from(101);
+        let coldkey_c: U256 = U256::from(102);
+
+        // Register neurons with decreasing stakes
+        register_ok_neuron(netuid, hotkey_a, coldkey_a, 0);
+        register_ok_neuron(netuid, hotkey_b, coldkey_b, 0);
+        register_ok_neuron(netuid, hotkey_c, coldkey_c, 0);
+
+        // Add initial stakes
+        SubtensorModule::add_balance_to_coldkey_account(&coldkey_a, 1_000);
+        SubtensorModule::add_balance_to_coldkey_account(&coldkey_b, 1_000);
+        SubtensorModule::add_balance_to_coldkey_account(&coldkey_c, 1_000);
+
+        // Swap to alpha
+        let total_tao: I96F32 = I96F32::from_num(300_000 + 100_000 + 50_000);
+        let total_alpha: I96F32 = I96F32::from_num(SubtensorModule::swap_tao_for_alpha(
+            netuid,
+            total_tao.saturating_to_num::<u64>(),
+        ));
+
+        // Set the stakes directly
+        // This avoids needing to swap tao to alpha, impacting the initial stake distribution.
+        SubtensorModule::increase_stake_for_hotkey_and_coldkey_on_subnet(
+            &hotkey_a,
+            &coldkey_a,
+            netuid,
+            (total_alpha * I96F32::from_num(300_000) / total_tao).saturating_to_num::<u64>(),
+        );
+        SubtensorModule::increase_stake_for_hotkey_and_coldkey_on_subnet(
+            &hotkey_b,
+            &coldkey_b,
+            netuid,
+            (total_alpha * I96F32::from_num(100_000) / total_tao).saturating_to_num::<u64>(),
+        );
+        SubtensorModule::increase_stake_for_hotkey_and_coldkey_on_subnet(
+            &hotkey_c,
+            &coldkey_c,
+            netuid,
+            (total_alpha * I96F32::from_num(50_000) / total_tao).saturating_to_num::<u64>(),
+        );
+
+        // Stake some to root
+        let stake_to_root: u64 = 10_000_000;
+        SubtensorModule::add_balance_to_coldkey_account(&coldkey_a, stake_to_root);
+        SubtensorModule::increase_stake_for_hotkey_and_coldkey_on_subnet(
+            &hotkey_a,
+            &coldkey_a,
+            netuid,
+            stake_to_root,
+        );
+
+        let alpha_price = SubtensorModule::get_alpha_price(netuid);
+        log::info!("alpha_price: {:?}", alpha_price);
+
+        // Get the total issuance
+        let mut tao_in_before = SubnetTAO::<Test>::get(netuid);
+        log::info!("tao_in_before: {:?}", tao_in_before);
+
+        // Disable registration on the network
+        SubtensorModule::set_network_registration_allowed(netuid, false);
+        SubtensorModule::set_network_pow_registration_allowed(netuid, false);
+
+        // Run the coinbase
+        SubtensorModule::run_coinbase(total_coinbase_emission);
+
+        // Should be the same
+        let tao_in_after = SubnetTAO::<Test>::get(netuid);
+        assert_abs_diff_eq!(tao_in_after, tao_in_before, epsilon = epsilon);
+    });
+}