diff --git a/Eigen/src/Core/CoreEvaluators.h b/Eigen/src/Core/CoreEvaluators.h
index c9b2d2d28..60857e2cc 100644
--- a/Eigen/src/Core/CoreEvaluators.h
+++ b/Eigen/src/Core/CoreEvaluators.h
@@ -1048,22 +1048,33 @@ struct ternary_evaluator<CwiseTernaryOp<TernaryOp, Arg1, Arg2, Arg3>, IndexBased
   Data m_d;
 };
 
-// specialization for expressions like (a < b).select(c, d) to enable full vectorization
 template <typename Arg1, typename Arg2, typename Scalar, typename CmpLhsType, typename CmpRhsType, ComparisonName cmp>
-struct evaluator<CwiseTernaryOp<scalar_boolean_select_op<Scalar, Scalar, bool>, Arg1, Arg2,
-                                CwiseBinaryOp<scalar_cmp_op<Scalar, Scalar, cmp, false>, CmpLhsType, CmpRhsType>>>
-    : public ternary_evaluator<
-          CwiseTernaryOp<scalar_boolean_select_op<Scalar, Scalar, Scalar>, Arg1, Arg2,
-                         CwiseBinaryOp<scalar_cmp_op<Scalar, Scalar, cmp, true>, CmpLhsType, CmpRhsType>>> {
+struct scalar_boolean_select_spec {
   using DummyTernaryOp = scalar_boolean_select_op<Scalar, Scalar, bool>;
   using DummyArg3 = CwiseBinaryOp<scalar_cmp_op<Scalar, Scalar, cmp, false>, CmpLhsType, CmpRhsType>;
   using DummyXprType = CwiseTernaryOp<DummyTernaryOp, Arg1, Arg2, DummyArg3>;
 
-  using TernaryOp = scalar_boolean_select_op<Scalar, Scalar, Scalar>;
-  using Arg3 = CwiseBinaryOp<scalar_cmp_op<Scalar, Scalar, cmp, true>, CmpLhsType, CmpRhsType>;
+  // only use the typed comparison if it is vectorized
+  static constexpr bool UseTyped = functor_traits<scalar_cmp_op<Scalar, Scalar, cmp, true>>::PacketAccess;
+  using CondScalar = std::conditional_t<UseTyped, Scalar, bool>;
+
+  using TernaryOp = scalar_boolean_select_op<Scalar, Scalar, CondScalar>;
+  using Arg3 = CwiseBinaryOp<scalar_cmp_op<Scalar, Scalar, cmp, UseTyped>, CmpLhsType, CmpRhsType>;
   using XprType = CwiseTernaryOp<TernaryOp, Arg1, Arg2, Arg3>;
 
   using Base = ternary_evaluator<XprType>;
+};
+
+// specialization for expressions like (a < b).select(c, d) to enable full vectorization
+template <typename Arg1, typename Arg2, typename Scalar, typename CmpLhsType, typename CmpRhsType, ComparisonName cmp>
+struct evaluator<CwiseTernaryOp<scalar_boolean_select_op<Scalar, Scalar, bool>, Arg1, Arg2,
+                                CwiseBinaryOp<scalar_cmp_op<Scalar, Scalar, cmp, false>, CmpLhsType, CmpRhsType>>>
+    : public scalar_boolean_select_spec<Arg1, Arg2, Scalar, CmpLhsType, CmpRhsType, cmp>::Base {
+  using Helper = scalar_boolean_select_spec<Arg1, Arg2, Scalar, CmpLhsType, CmpRhsType, cmp>;
+  using Base = typename Helper::Base;
+  using DummyXprType = typename Helper::DummyXprType;
+  using Arg3 = typename Helper::Arg3;
+  using XprType = typename Helper::XprType;
 
   EIGEN_DEVICE_FUNC explicit evaluator(const DummyXprType& xpr)
       : Base(XprType(xpr.arg1(), xpr.arg2(), Arg3(xpr.arg3().lhs(), xpr.arg3().rhs()))) {}
diff --git a/Eigen/src/Core/functors/BinaryFunctors.h b/Eigen/src/Core/functors/BinaryFunctors.h
index b6ecfb5d5..85e1584ea 100644
--- a/Eigen/src/Core/functors/BinaryFunctors.h
+++ b/Eigen/src/Core/functors/BinaryFunctors.h
@@ -207,20 +207,9 @@ struct functor_traits<scalar_cmp_op<LhsScalar, RhsScalar, cmp, UseTypedComparato
   };
 };
 
-template <typename LhsScalar, typename RhsScalar, bool UseTypedComparators>
-struct typed_cmp_helper {
-  static constexpr bool SameType = is_same<LhsScalar, RhsScalar>::value;
-  static constexpr bool IsNumeric = is_arithmetic<typename NumTraits<LhsScalar>::Real>::value;
-  static constexpr bool UseTyped = UseTypedComparators && SameType && IsNumeric;
-  using type = typename conditional<UseTyped, LhsScalar, bool>::type;
-};
-
-template <typename LhsScalar, typename RhsScalar, bool UseTypedComparators>
-using cmp_return_t = typename typed_cmp_helper<LhsScalar, RhsScalar, UseTypedComparators>::type;
-
 template <typename LhsScalar, typename RhsScalar, bool UseTypedComparators>
 struct scalar_cmp_op<LhsScalar, RhsScalar, cmp_EQ, UseTypedComparators> : binary_op_base<LhsScalar, RhsScalar> {
-  using result_type = cmp_return_t<LhsScalar, RhsScalar, UseTypedComparators>;
+  using result_type = std::conditional_t<UseTypedComparators, LhsScalar, bool>;
   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE result_type operator()(const LhsScalar& a, const RhsScalar& b) const {
     return a == b ? result_type(1) : result_type(0);
   }
@@ -233,7 +222,7 @@ struct scalar_cmp_op<LhsScalar, RhsScalar, cmp_EQ, UseTypedComparators> : binary
 
 template <typename LhsScalar, typename RhsScalar, bool UseTypedComparators>
 struct scalar_cmp_op<LhsScalar, RhsScalar, cmp_LT, UseTypedComparators> : binary_op_base<LhsScalar, RhsScalar> {
-  using result_type = cmp_return_t<LhsScalar, RhsScalar, UseTypedComparators>;
+  using result_type = std::conditional_t<UseTypedComparators, LhsScalar, bool>;
   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE result_type operator()(const LhsScalar& a, const RhsScalar& b) const {
     return a < b ? result_type(1) : result_type(0);
   }
@@ -246,7 +235,7 @@ struct scalar_cmp_op<LhsScalar, RhsScalar, cmp_LT, UseTypedComparators> : binary
 
 template <typename LhsScalar, typename RhsScalar, bool UseTypedComparators>
 struct scalar_cmp_op<LhsScalar, RhsScalar, cmp_LE, UseTypedComparators> : binary_op_base<LhsScalar, RhsScalar> {
-  using result_type = cmp_return_t<LhsScalar, RhsScalar, UseTypedComparators>;
+  using result_type = std::conditional_t<UseTypedComparators, LhsScalar, bool>;
   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE result_type operator()(const LhsScalar& a, const RhsScalar& b) const {
     return a <= b ? result_type(1) : result_type(0);
   }
@@ -259,7 +248,7 @@ struct scalar_cmp_op<LhsScalar, RhsScalar, cmp_LE, UseTypedComparators> : binary
 
 template <typename LhsScalar, typename RhsScalar, bool UseTypedComparators>
 struct scalar_cmp_op<LhsScalar, RhsScalar, cmp_GT, UseTypedComparators> : binary_op_base<LhsScalar, RhsScalar> {
-  using result_type = cmp_return_t<LhsScalar, RhsScalar, UseTypedComparators>;
+  using result_type = std::conditional_t<UseTypedComparators, LhsScalar, bool>;
   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE result_type operator()(const LhsScalar& a, const RhsScalar& b) const {
     return a > b ? result_type(1) : result_type(0);
   }
@@ -272,7 +261,7 @@ struct scalar_cmp_op<LhsScalar, RhsScalar, cmp_GT, UseTypedComparators> : binary
 
 template <typename LhsScalar, typename RhsScalar, bool UseTypedComparators>
 struct scalar_cmp_op<LhsScalar, RhsScalar, cmp_GE, UseTypedComparators> : binary_op_base<LhsScalar, RhsScalar> {
-  using result_type = cmp_return_t<LhsScalar, RhsScalar, UseTypedComparators>;
+  using result_type = std::conditional_t<UseTypedComparators, LhsScalar, bool>;
   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE result_type operator()(const LhsScalar& a, const RhsScalar& b) const {
     return a >= b ? result_type(1) : result_type(0);
   }
@@ -285,7 +274,7 @@ struct scalar_cmp_op<LhsScalar, RhsScalar, cmp_GE, UseTypedComparators> : binary
 
 template <typename LhsScalar, typename RhsScalar, bool UseTypedComparators>
 struct scalar_cmp_op<LhsScalar, RhsScalar, cmp_UNORD, UseTypedComparators> : binary_op_base<LhsScalar, RhsScalar> {
-  using result_type = cmp_return_t<LhsScalar, RhsScalar, UseTypedComparators>;
+  using result_type = std::conditional_t<UseTypedComparators, LhsScalar, bool>;
   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE result_type operator()(const LhsScalar& a, const RhsScalar& b) const {
     return !(a <= b || b <= a) ? result_type(1) : result_type(0);
   }
@@ -298,7 +287,7 @@ struct scalar_cmp_op<LhsScalar, RhsScalar, cmp_UNORD, UseTypedComparators> : bin
 
 template <typename LhsScalar, typename RhsScalar, bool UseTypedComparators>
 struct scalar_cmp_op<LhsScalar, RhsScalar, cmp_NEQ, UseTypedComparators> : binary_op_base<LhsScalar, RhsScalar> {
-  using result_type = cmp_return_t<LhsScalar, RhsScalar, UseTypedComparators>;
+  using result_type = std::conditional_t<UseTypedComparators, LhsScalar, bool>;
   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE result_type operator()(const LhsScalar& a, const RhsScalar& b) const {
     return a != b ? result_type(1) : result_type(0);
   }
diff --git a/test/array_cwise.cpp b/test/array_cwise.cpp
index d37e47a64..f361cce77 100644
--- a/test/array_cwise.cpp
+++ b/test/array_cwise.cpp
@@ -762,6 +762,18 @@ void comparisons(const ArrayType& m) {
   VERIFY_IS_APPROX(((m1.abs() + 1) > RealScalar(0.1)).colwise().count(),
                    ArrayOfIndices::Constant(cols, rows).transpose());
   VERIFY_IS_APPROX(((m1.abs() + 1) > RealScalar(0.1)).rowwise().count(), ArrayOfIndices::Constant(rows, cols));
+
+  // simple data type that does not permit implicit conversions
+  struct scalar_wrapper {
+    Scalar m_data;
+    scalar_wrapper() : m_data(0) {}
+    explicit scalar_wrapper(Scalar data) : m_data(data) {}
+    bool operator==(scalar_wrapper other) const { return m_data == other.m_data; }
+  };
+
+  // test bug2966: select did not support some scalar types that forbade implicit conversions from bool
+  ArrayX<scalar_wrapper> m5(10);
+  m5 = (m5 == scalar_wrapper(0)).select(m5, m5);
 }
 
 template <typename ArrayType>