Overloading is miserable. C++ has to provide this as an overload because it still, decades after standardisation and half a lifetime after it was created, doesn't have a way to just extend types.
If you can just extend the types then you can provide operators that way and there's less opportunity for ambiguity. See Rust.
Also so many of the C++ operator overloads are broken instead of just not existing, which tempts you to overload things instead of saying "Nope, that's a bad idea" and just walking away altogether.
Example, boolean short-circuiting AND and OR. If we write
if (this() || that()) foo();
in C++ then that OR is short-circuiting, so that() won't get called if this() is true.
But if the return type used overloads the boolean OR operator, short-circuiting is disabled, and now both this() and that() are always called...
