diff --git a/framework/include/utils/BootstrapStatistics.h b/framework/include/utils/BootstrapStatistics.h
index 4d9e81cdfcca..71932746b9bf 100644
--- a/framework/include/utils/BootstrapStatistics.h
+++ b/framework/include/utils/BootstrapStatistics.h
@@ -7,6 +7,8 @@
 //* Licensed under LGPL 2.1, please see LICENSE for details
 //* https://www.gnu.org/licenses/lgpl-2.1.html
 
+#pragma once
+
 #include "MooseTypes.h"
 #include "MooseObject.h"
 #include <vector>
@@ -30,7 +32,7 @@ MooseEnum makeBootstrapCalculatorEnum();
  * objects.
  */
 std::unique_ptr<const BootstrapCalculator> makeBootstrapCalculator(
-    const MooseEnum &, const MooseObject &, const std::vector<Real> &, unsigned int, unsigned int);
+    const MooseEnum &, const libMesh::ParallelObject &, const std::vector<Real> &, unsigned int, unsigned int);
 
 /*
  * Base class for computing bootstrap confidence level intervals. These classes follow the same
@@ -39,7 +41,7 @@ std::unique_ptr<const BootstrapCalculator> makeBootstrapCalculator(
 class BootstrapCalculator : public libMesh::ParallelObject
 {
 public:
-  BootstrapCalculator(const MooseObject &);
+  BootstrapCalculator(const libMesh::ParallelObject &);
   virtual ~BootstrapCalculator() = default;
   void setSeed(unsigned int);
   void setReplicates(unsigned int);
@@ -58,7 +60,7 @@ class BootstrapCalculator : public libMesh::ParallelObject
 class Percentile : public BootstrapCalculator
 {
 public:
-  Percentile(const MooseObject &);
+  Percentile(const libMesh::ParallelObject &);
   virtual std::vector<Real>
   compute(const std::vector<Real> &, const Calculator &, const bool) const override;
 };
diff --git a/framework/include/utils/Statistics.h b/framework/include/utils/Statistics.h
index 12eda582872e..a989a6b9411f 100644
--- a/framework/include/utils/Statistics.h
+++ b/framework/include/utils/Statistics.h
@@ -7,6 +7,8 @@
 //* Licensed under LGPL 2.1, please see LICENSE for details
 //* https://www.gnu.org/licenses/lgpl-2.1.html
 
+#pragma once
+
 #include "MooseTypes.h"
 #include "MooseObject.h"
 #include <vector>
@@ -21,7 +23,7 @@ class Calculator;
  * Free function for building a const Calculator object for use by StatisticsVectorPostprocessor.
  */
 std::unique_ptr<const Calculator> makeCalculator(const MooseEnumItem & item,
-                                                 const MooseObject & other);
+                                                 const libMesh::ParallelObject & other);
 
 /*
  * Free function that returns the available statistics available to the
@@ -45,7 +47,7 @@ MultiMooseEnum makeCalculatorEnum();
 class Calculator : public libMesh::ParallelObject
 {
 public:
-  Calculator(const MooseObject &);
+  Calculator(const libMesh::ParallelObject &);
   virtual ~Calculator() = default;
   virtual Real compute(const std::vector<Real> &, bool) const = 0;
 };
@@ -53,56 +55,56 @@ class Calculator : public libMesh::ParallelObject
 class Mean : public Calculator
 {
 public:
-  Mean(const MooseObject &);
+  Mean(const libMesh::ParallelObject &);
   virtual Real compute(const std::vector<Real> &, bool) const override;
 };
 
 class Min : public Calculator
 {
 public:
-  Min(const MooseObject &);
+  Min(const libMesh::ParallelObject &);
   virtual Real compute(const std::vector<Real> &, bool) const override;
 };
 
 class Max : public Calculator
 {
 public:
-  Max(const MooseObject &);
+  Max(const libMesh::ParallelObject &);
   virtual Real compute(const std::vector<Real> &, bool) const override;
 };
 
 class Sum : public Calculator
 {
 public:
-  Sum(const MooseObject &);
+  Sum(const libMesh::ParallelObject &);
   virtual Real compute(const std::vector<Real> &, bool) const override;
 };
 
 class StdDev : public Calculator
 {
 public:
-  StdDev(const MooseObject &);
+  StdDev(const libMesh::ParallelObject &);
   virtual Real compute(const std::vector<Real> &, bool) const override;
 };
 
 class StdErr : public StdDev
 {
 public:
-  StdErr(const MooseObject &);
+  StdErr(const libMesh::ParallelObject &);
   virtual Real compute(const std::vector<Real> &, bool) const override;
 };
 
 class Ratio : public Calculator
 {
 public:
-  Ratio(const MooseObject &);
+  Ratio(const libMesh::ParallelObject &);
   virtual Real compute(const std::vector<Real> &, bool) const override;
 };
 
 class L2Norm : public Calculator
 {
 public:
-  L2Norm(const MooseObject &);
+  L2Norm(const libMesh::ParallelObject &);
   virtual Real compute(const std::vector<Real> &, bool) const override;
 };
 
diff --git a/framework/src/utils/BootstrapStatistics.C b/framework/src/utils/BootstrapStatistics.C
index 7d02e62e827e..5e2483e73eb7 100644
--- a/framework/src/utils/BootstrapStatistics.C
+++ b/framework/src/utils/BootstrapStatistics.C
@@ -31,7 +31,7 @@ makeBootstrapCalculatorEnum()
 
 std::unique_ptr<const BootstrapCalculator>
 makeBootstrapCalculator(const MooseEnum & item,
-                        const MooseObject & other,
+                        const libMesh::ParallelObject & other,
                         const std::vector<Real> & levels,
                         unsigned int replicates,
                         unsigned int seed)
@@ -51,7 +51,7 @@ makeBootstrapCalculator(const MooseEnum & item,
   return std::unique_ptr<const BootstrapCalculator>(ptr);
 }
 
-BootstrapCalculator::BootstrapCalculator(const MooseObject & other) : libMesh::ParallelObject(other)
+BootstrapCalculator::BootstrapCalculator(const libMesh::ParallelObject & other) : libMesh::ParallelObject(other)
 {
 }
 
@@ -158,7 +158,7 @@ BootstrapCalculator::shuffle(const std::vector<Real> & data,
 }
 
 // PERCENTILE //////////////////////////////////////////////////////////////////////////////////////
-Percentile::Percentile(const MooseObject & other) : BootstrapCalculator(other) {}
+Percentile::Percentile(const libMesh::ParallelObject & other) : BootstrapCalculator(other) {}
 
 std::vector<Real>
 Percentile::compute(const std::vector<Real> & data,
diff --git a/framework/src/utils/Statistics.C b/framework/src/utils/Statistics.C
index 552957a86232..1b145ded0d38 100644
--- a/framework/src/utils/Statistics.C
+++ b/framework/src/utils/Statistics.C
@@ -26,7 +26,7 @@ makeCalculatorEnum()
 }
 
 std::unique_ptr<const Calculator>
-makeCalculator(const MooseEnumItem & item, const MooseObject & other)
+makeCalculator(const MooseEnumItem & item, const libMesh::ParallelObject & other)
 {
   if (item == "min")
     return libmesh_make_unique<const Min>(other);
@@ -57,10 +57,10 @@ makeCalculator(const MooseEnumItem & item, const MooseObject & other)
 }
 
 // CALCULATOR //////////////////////////////////////////////////////////////////////////////////////
-Calculator::Calculator(const MooseObject & other) : libMesh::ParallelObject(other) {}
+Calculator::Calculator(const libMesh::ParallelObject & other) : libMesh::ParallelObject(other) {}
 
 // MEAN ////////////////////////////////////////////////////////////////////////////////////////////
-Mean::Mean(const MooseObject & other) : Calculator(other) {}
+Mean::Mean(const libMesh::ParallelObject & other) : Calculator(other) {}
 
 Real
 Mean::compute(const std::vector<Real> & data, bool is_distributed) const
@@ -79,7 +79,7 @@ Mean::compute(const std::vector<Real> & data, bool is_distributed) const
 }
 
 // MIN /////////////////////////////////////////////////////////////////////////////////////////////
-Min::Min(const MooseObject & other) : Calculator(other) {}
+Min::Min(const libMesh::ParallelObject & other) : Calculator(other) {}
 
 Real
 Min::compute(const std::vector<Real> & data, bool is_distributed) const
@@ -92,7 +92,7 @@ Min::compute(const std::vector<Real> & data, bool is_distributed) const
 }
 
 // MAX /////////////////////////////////////////////////////////////////////////////////////////////
-Max::Max(const MooseObject & other) : Calculator(other) {}
+Max::Max(const libMesh::ParallelObject & other) : Calculator(other) {}
 
 Real
 Max::compute(const std::vector<Real> & data, bool is_distributed) const
@@ -105,7 +105,7 @@ Max::compute(const std::vector<Real> & data, bool is_distributed) const
 }
 
 // SUM /////////////////////////////////////////////////////////////////////////////////////////////
-Sum::Sum(const MooseObject & other) : Calculator(other) {}
+Sum::Sum(const libMesh::ParallelObject & other) : Calculator(other) {}
 
 Real
 Sum::compute(const std::vector<Real> & data, bool is_distributed) const
@@ -118,7 +118,7 @@ Sum::compute(const std::vector<Real> & data, bool is_distributed) const
 }
 
 // STDDEV //////////////////////////////////////////////////////////////////////////////////////////
-StdDev::StdDev(const MooseObject & other) : Calculator(other) {}
+StdDev::StdDev(const libMesh::ParallelObject & other) : Calculator(other) {}
 
 Real
 StdDev::compute(const std::vector<Real> & data, bool is_distributed) const
@@ -144,7 +144,7 @@ StdDev::compute(const std::vector<Real> & data, bool is_distributed) const
 }
 
 // STDERR //////////////////////////////////////////////////////////////////////////////////////////
-StdErr::StdErr(const MooseObject & other) : StdDev(other) {}
+StdErr::StdErr(const libMesh::ParallelObject & other) : StdDev(other) {}
 
 Real
 StdErr::compute(const std::vector<Real> & data, bool is_distributed) const
@@ -156,7 +156,7 @@ StdErr::compute(const std::vector<Real> & data, bool is_distributed) const
 }
 
 // RATIO ///////////////////////////////////////////////////////////////////////////////////////////
-Ratio::Ratio(const MooseObject & other) : Calculator(other) {}
+Ratio::Ratio(const libMesh::ParallelObject & other) : Calculator(other) {}
 
 Real
 Ratio::compute(const std::vector<Real> & data, bool is_distributed) const
@@ -176,7 +176,7 @@ Ratio::compute(const std::vector<Real> & data, bool is_distributed) const
 }
 
 // L2NORM //////////////////////////////////////////////////////////////////////////////////////////
-L2Norm::L2Norm(const MooseObject & other) : Calculator(other) {}
+L2Norm::L2Norm(const libMesh::ParallelObject & other) : Calculator(other) {}
 
 Real
 L2Norm::compute(const std::vector<Real> & data, bool is_distributed) const