diff --git a/cpp/src/arrow/compute/kernels/vector_run_end_selection.cc b/cpp/src/arrow/compute/kernels/vector_run_end_selection.cc
index ae8d113694793..ebbb06b18bfeb 100644
--- a/cpp/src/arrow/compute/kernels/vector_run_end_selection.cc
+++ b/cpp/src/arrow/compute/kernels/vector_run_end_selection.cc
@@ -132,10 +132,8 @@ struct VisitREExREEFilterOutputFragments {
 /// run_value_i should not be used as nulls can be emitted from the filter when
 /// null_selection=EMIT_NULL. In that case, run_value_i wouldn't necessarily
 /// point to a NULL value in the values array.
-template <typename ValuesRunEndType, typename ValuesValueType, typename FilterRunEndType,
-          template <typename VRET, typename VVT>
-          typename VisitFilterOutputFragmentsFunctor,
-          typename EmitRun>
+template <typename ValuesRunEndType, typename ValuesValueType,
+          class VisitFilterOutputFragmentsFunctor, typename EmitRun>
 Status VisitREExAnyFilterCombinedOutputRuns(
     MemoryPool* pool, const ArraySpan& values, const ArraySpan& filter,
     FilterOptions::NullSelectionBehavior null_selection, EmitRun emit_run) {
@@ -158,7 +156,7 @@ Status VisitREExAnyFilterCombinedOutputRuns(
   // values[open_run_value_i] because null values from filters (combined with
   // FilterOptions::EMIT_NULL) can cause nulls to be emitted as well.
   int64_t open_run_value_i = -1;
-  auto status = VisitFilterOutputFragmentsFunctor<ValuesRunEndType, FilterRunEndType>{}(
+  auto status = VisitFilterOutputFragmentsFunctor{}(
       pool, values, filter, null_selection,
       [all_values_are_null, values_validity, &read_write, &open_run_length,
        &open_run_is_null, &open_run_value_i,
@@ -545,14 +543,13 @@ class REExREEFilterExecImpl final : public REEFilterExec {
       return CountREEFilterEmits<FilterRunEndType>(filter_, null_selection_) > 0 ? 1 : 0;
     } else {
       int64_t num_output_runs = 0;
-      auto status =
-          VisitREExAnyFilterCombinedOutputRuns<ValuesRunEndType, ValuesValueType,
-                                               FilterRunEndType,
-                                               VisitREExREEFilterOutputFragments>(
-              pool_, values_, filter_, null_selection_,
-              [&num_output_runs](int64_t, int64_t run_length, bool) {
-                num_output_runs += run_length > 0;
-              });
+      auto status = VisitREExAnyFilterCombinedOutputRuns<
+          ValuesRunEndType, ValuesValueType,
+          VisitREExREEFilterOutputFragments<ValuesRunEndType, FilterRunEndType>>(
+          pool_, values_, filter_, null_selection_,
+          [&num_output_runs](int64_t, int64_t run_length, bool) {
+            num_output_runs += run_length > 0;
+          });
       RETURN_NOT_OK(status);
       return num_output_runs;
     }
@@ -580,9 +577,9 @@ class REExREEFilterExecImpl final : public REEFilterExec {
     int64_t logical_length = 0;
     int64_t write_offset = 0;
     ValueRepr value;
-    auto status = VisitREExAnyFilterCombinedOutputRuns<ValuesRunEndType, ValuesValueType,
-                                                       FilterRunEndType,
-                                                       VisitREExREEFilterOutputFragments>(
+    auto status = VisitREExAnyFilterCombinedOutputRuns<
+        ValuesRunEndType, ValuesValueType,
+        VisitREExREEFilterOutputFragments<ValuesRunEndType, FilterRunEndType>>(
         pool_, values_, filter_, null_selection_,
         [&](int64_t i, int64_t run_length, bool valid) {
           logical_length += run_length;