Catching an exception type with constructor from not-const reference in C++

Consider a struct A with copy-constructor deleted but having instead the constructor from not-const reference. Can one throw an object of A and then catch it by value as in the example program:

struct A {
    A() {}
    A(A&) {}
    A(const A&) = delete;
};

int main() {
    try {
        throw A{};
    }
    catch( A ) {
    }
}

Both GCC and Clang allow such usage. Although MSVC prints an error:

C2316: 'A': cannot be caught as the destructor and/or copy constructor are inaccessible or deleted

Demo: https://gcc.godbolt.org/z/P4c6Ea9fz

Indeed A(const A&) is deleted but A(A&) is accessible here. Is it a wrong diagnostics from MSVC?