Catching exceptions by `const` value in C++. Compilers diverge

Question

In the following program, struct A has both copy-constructor A(const A&) and a constructor from lvalue-reference A(A&). Then an object of A is thrown and then caught as const A:

#include <iostream>

struct A {
    A() {}
    A(A&) { std::cout << "A(A&) "; }
    A(const A&) { std::cout << "A(const A&) "; }
};

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

All compilers accept the program.

As far as I understand exception objects are never cv-qualified, and handler variables are initialized from an lvalue that refers to them. So one could expect that A(A&) constructor be preferred in catch. And indeed Clang does so.

But GCC prefers copy constructor printing A(const A&). Demo: https://gcc.godbolt.org/z/1an5M7rWh

Even more weird thing happens in Visual Studio 2019 16.11.7, which prints nothing during program execution.

Which compiler is right here?