diff --git a/framework/src/userobjects/ElementSubdomainModifierBase.C b/framework/src/userobjects/ElementSubdomainModifierBase.C
index 01e6fed54cc5..0094c723b9f7 100644
--- a/framework/src/userobjects/ElementSubdomainModifierBase.C
+++ b/framework/src/userobjects/ElementSubdomainModifierBase.C
@@ -368,9 +368,9 @@ ElementSubdomainModifierBase::applyMovingBoundaryChanges(MooseMesh & mesh)
   Parallel::push_parallel_vector_data(
       bnd_info.comm(),
       add_ghost_sides,
-      [&mesh, &bnd_info, this](
-          processor_id_type,
-          const std::vector<std::tuple<dof_id_type, unsigned short, BoundaryID>> & received)
+      [&mesh,
+       &bnd_info](processor_id_type,
+                  const std::vector<std::tuple<dof_id_type, unsigned short, BoundaryID>> & received)
       {
         for (const auto & [elem_id, side, bnd] : received)
           bnd_info.add_side(mesh.elemPtr(elem_id), side, bnd);
@@ -379,9 +379,9 @@ ElementSubdomainModifierBase::applyMovingBoundaryChanges(MooseMesh & mesh)
   Parallel::push_parallel_vector_data(
       bnd_info.comm(),
       remove_ghost_sides,
-      [&mesh, &bnd_info, this](
-          processor_id_type,
-          const std::vector<std::tuple<dof_id_type, unsigned short, BoundaryID>> & received)
+      [&mesh,
+       &bnd_info](processor_id_type,
+                  const std::vector<std::tuple<dof_id_type, unsigned short, BoundaryID>> & received)
       {
         for (const auto & [elem_id, side, bnd] : received)
           bnd_info.remove_side(mesh.elemPtr(elem_id), side, bnd);
diff --git a/modules/xfem/test/tests/moving_interface/gold/moving_bimaterial_finite_strain_esm_out.e b/modules/xfem/test/tests/moving_interface/gold/moving_bimaterial_finite_strain_esm_out.e
index 5ff07a23c1e4..fa7fdc037e00 100644
Binary files a/modules/xfem/test/tests/moving_interface/gold/moving_bimaterial_finite_strain_esm_out.e and b/modules/xfem/test/tests/moving_interface/gold/moving_bimaterial_finite_strain_esm_out.e differ
diff --git a/modules/xfem/test/tests/moving_interface/gold/moving_bimaterial_finite_strain_esm_out.e-s002 b/modules/xfem/test/tests/moving_interface/gold/moving_bimaterial_finite_strain_esm_out.e-s002
index 98eefa33570d..fa9fee753771 100644
Binary files a/modules/xfem/test/tests/moving_interface/gold/moving_bimaterial_finite_strain_esm_out.e-s002 and b/modules/xfem/test/tests/moving_interface/gold/moving_bimaterial_finite_strain_esm_out.e-s002 differ
diff --git a/modules/xfem/test/tests/moving_interface/gold/moving_bimaterial_finite_strain_esm_out.e-s003 b/modules/xfem/test/tests/moving_interface/gold/moving_bimaterial_finite_strain_esm_out.e-s003
index ebb1e7ac0210..015e8375ab46 100644
Binary files a/modules/xfem/test/tests/moving_interface/gold/moving_bimaterial_finite_strain_esm_out.e-s003 and b/modules/xfem/test/tests/moving_interface/gold/moving_bimaterial_finite_strain_esm_out.e-s003 differ
diff --git a/modules/xfem/test/tests/moving_interface/gold/moving_bimaterial_finite_strain_esm_out.e-s004 b/modules/xfem/test/tests/moving_interface/gold/moving_bimaterial_finite_strain_esm_out.e-s004
index 5fe619e9310a..7ae7a94be49c 100644
Binary files a/modules/xfem/test/tests/moving_interface/gold/moving_bimaterial_finite_strain_esm_out.e-s004 and b/modules/xfem/test/tests/moving_interface/gold/moving_bimaterial_finite_strain_esm_out.e-s004 differ
diff --git a/modules/xfem/test/tests/moving_interface/gold/moving_bimaterial_finite_strain_esm_out.e-s005 b/modules/xfem/test/tests/moving_interface/gold/moving_bimaterial_finite_strain_esm_out.e-s005
index a1a0a04a7b55..9e98fc550ec7 100644
Binary files a/modules/xfem/test/tests/moving_interface/gold/moving_bimaterial_finite_strain_esm_out.e-s005 and b/modules/xfem/test/tests/moving_interface/gold/moving_bimaterial_finite_strain_esm_out.e-s005 differ
diff --git a/modules/xfem/test/tests/moving_interface/moving_bimaterial_finite_strain_esm.i b/modules/xfem/test/tests/moving_interface/moving_bimaterial_finite_strain_esm.i
index 4e57e6eb04b9..e7762a425120 100644
--- a/modules/xfem/test/tests/moving_interface/moving_bimaterial_finite_strain_esm.i
+++ b/modules/xfem/test/tests/moving_interface/moving_bimaterial_finite_strain_esm.i
@@ -20,8 +20,7 @@
   [esm]
     type = CutElementSubdomainModifier
     geometric_cut_userobject = level_set_cut_uo
-    initialize_variables = 'disp_x disp_y'
-    initialization_strategy = 'NEAREST'
+    reinitialize_subdomains = '' #no reinitialization of variables or material properties
   []
 []
 
diff --git a/modules/xfem/test/tests/moving_interface/test_level_set_subdomain_change.i b/modules/xfem/test/tests/moving_interface/test_level_set_subdomain_change.i
new file mode 100644
index 000000000000..83a036a550fb
--- /dev/null
+++ b/modules/xfem/test/tests/moving_interface/test_level_set_subdomain_change.i
@@ -0,0 +1,112 @@
+[Problem]
+  solve = false
+[]
+
+[XFEM]
+  output_cut_plane = true
+[]
+
+[UserObjects]
+  [level_set_cut_uo]
+    type = LevelSetCutUserObject
+    level_set_var = ls
+    heal_always = true
+  []
+  [esm]
+    type = CutElementSubdomainModifier
+    geometric_cut_userobject = level_set_cut_uo
+    reinitialize_subdomains = ''
+  []
+[]
+
+[Mesh]
+  use_displaced_mesh = true
+  [generated_mesh]
+    type = GeneratedMeshGenerator
+    dim = 2
+    nx = 10
+    ny = 10
+    xmin = 0
+    xmax = 5
+    ymin = 0
+    ymax = 5
+    elem_type = QUAD4
+  []
+  [bottom]
+    type = SubdomainBoundingBoxGenerator
+    input = generated_mesh
+    block_id = 0
+    bottom_left = '0 0 0'
+    top_right = '5 2.5 0'
+  []
+  [top]
+    type = SubdomainBoundingBoxGenerator
+    input = bottom
+    block_id = 1
+    bottom_left = '0 2.5 0'
+    top_right = '5 5 0'
+  []
+[]
+
+[Functions]
+  [ls_func]
+    type = ParsedFunction
+    expression = 'y-2.73+t'
+  []
+[]
+
+[AuxVariables]
+  [ls]
+  []
+  [u]
+  []
+[]
+
+[ICs]
+  [u_1]
+    type = ConstantIC
+    variable = 'u'
+    value = 1
+    block = 0
+  []
+  [u_2]
+    type = ConstantIC
+    variable = 'u'
+    value = 2
+    block = 1
+  []
+[]
+
+[AuxKernels]
+  [ls_function]
+    type = FunctionAux
+    variable = ls
+    function = ls_func
+  []
+[]
+
+[Executioner]
+  type = Transient
+
+  solve_type = NEWTON
+  petsc_options_iname = '-pc_type'
+  petsc_options_value = 'lu'
+  automatic_scaling = true
+
+  # controls for nonlinear iterations
+  nl_max_its = 15
+  nl_rel_tol = 1e-13
+  nl_abs_tol = 1e-50
+
+  # time control
+  start_time = 0.0
+  dt = 0.1
+  num_steps = 4
+
+  max_xfem_update = 1
+[]
+
+[Outputs]
+  print_linear_residuals = false
+  exodus = true
+[]
diff --git a/test/tests/mesh/add_subdomain_ids/gold/add_subdomain_names_out.e b/test/tests/mesh/add_subdomain_ids/gold/add_subdomain_names_out.e
index e8f0301735a8..c43237c02d48 100644
Binary files a/test/tests/mesh/add_subdomain_ids/gold/add_subdomain_names_out.e and b/test/tests/mesh/add_subdomain_ids/gold/add_subdomain_names_out.e differ
diff --git a/test/tests/mesh/add_subdomain_ids/gold/add_subdomain_names_out.e-s004 b/test/tests/mesh/add_subdomain_ids/gold/add_subdomain_names_out.e-s002
similarity index 80%
rename from test/tests/mesh/add_subdomain_ids/gold/add_subdomain_names_out.e-s004
rename to test/tests/mesh/add_subdomain_ids/gold/add_subdomain_names_out.e-s002
index 9f8fe245047d..60be3837ddae 100644
Binary files a/test/tests/mesh/add_subdomain_ids/gold/add_subdomain_names_out.e-s004 and b/test/tests/mesh/add_subdomain_ids/gold/add_subdomain_names_out.e-s002 differ
diff --git a/test/tests/mesh/add_subdomain_ids/gold/add_subdomain_names_out.e-s006 b/test/tests/mesh/add_subdomain_ids/gold/add_subdomain_names_out.e-s003
similarity index 80%
rename from test/tests/mesh/add_subdomain_ids/gold/add_subdomain_names_out.e-s006
rename to test/tests/mesh/add_subdomain_ids/gold/add_subdomain_names_out.e-s003
index 36592ae2a1f6..09023d3603d2 100644
Binary files a/test/tests/mesh/add_subdomain_ids/gold/add_subdomain_names_out.e-s006 and b/test/tests/mesh/add_subdomain_ids/gold/add_subdomain_names_out.e-s003 differ
diff --git a/test/tests/mesh/add_subdomain_ids/tests b/test/tests/mesh/add_subdomain_ids/tests
index d69da680868b..9a29bdb7c6e1 100644
--- a/test/tests/mesh/add_subdomain_ids/tests
+++ b/test/tests/mesh/add_subdomain_ids/tests
@@ -19,7 +19,7 @@
   [add_subdomain_names]
     type = Exodiff
     input = add_subdomain_names.i
-    exodiff = 'add_subdomain_names_out.e add_subdomain_names_out.e-s004 add_subdomain_names_out.e-s006'
+    exodiff = 'add_subdomain_names_out.e add_subdomain_names_out.e-s002 add_subdomain_names_out.e-s003'
     exodiff_opts = '-pedantic'
     issues = '#27474'
     design = MooseMesh.md