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I can confirm that this issue also exists on a vanilla magento instance.

just curiously have you import correct price scope ? Would be great if you can share file config.php in description
['system']['default']['catalog']['price']['scope']

@mrtuvn What exactly do you mean? Yes, the value I've changed has the path ['system']['default']['catalog']['price']['scope']. Before the value was null and now it's 1. 1 is also the value which the option in the select for the configuration of the price scope has.

Hi @engcom-November. Thank you for working on this issue.
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Verified the issue on Magento2.4-develop branch and the issue is reproducible:

Steps to reproduce:

1. Magento Setup 2 Store views (Ref Guide)
2. Create/Edit a product and assign to both the Stores (Admin - Catalog - Products) and save
3. Set the price scope to 'Global' (Admin - Stores - Configuration - Catalog - Catalog - Price - Price Scope - Global) and Save
4. Set the price scope to "Website" in your Magento root/app/etc/config.php

'system' => [
        'default' => [
                'catalog' => [
                        'price' =>[
                             'scope' => 1
                         ]
                 ]
         ]
],

5. Execute bin/magento app:config:import
6. Clean magento cache bin/magento cache:clean
7. Admin - Verify Price scope is changed to Website - Price scope is changed to Website.
8. Navigate to Admin - Catalog - Products - Edit the same product - Change the scope to new Store view - Change the Price and Save
   Issue: User is able to save the product but price is not getting changed. Default Price is displayed.
   User is able to save different price only when scope is set to "All Store Views"
   For Scope "Default Store View" and "New Store View" - New Price saved is not getting updated.

✅ Confirmed by @engcom-November
Thank you for verifying the issue. Based on the provided information internal tickets MC-42963 were created

Issue Available: @engcom-November, You will be automatically unassigned. Contributors/Maintainers can claim this issue to continue. To reclaim and continue work, reassign the ticket to yourself.