C++ also allows you to overload short-circuiting operators, but of course your overload can't short-circuit so you just silently destroyed an important feature. Why ?
As others have pointed out, several languages have been able to provide this feature without causing half the mess and disappointment. Ten years ago if you said move assignment semantics are a bad idea you might persuade people because the C++ move semantics are messy, but hey, turns out a fresh language is able to just provide the destructive move developers actually wanted (but couldn't pull off for C++) and that's really nice.