Math studied by enough people is almost always meaningful. When it has technical issues, it can be reformulated to fix them. When it’s not yet rigorous, most of its content will in time find rigorous formulations. Even physics that disargees with experiment can be useful or interesting as physics, not just as math. So for the most part the wider reservations about a well-studied topic in theoretical physics are not going to be about truth, either mathematical or physical, but about whether it’s interesting/feasible to test/draws too much attention/a central enough example of physics or math.
Math studied by enough people is almost always meaningful. When it has technical issues, it can be reformulated to fix them. When it’s not yet rigorous, most of its content will in time find rigorous formulations. Even physics that disargees with experiment can be useful or interesting as physics, not just as math. So for the most part the wider reservations about a well-studied topic in theoretical physics are not going to be about truth, either mathematical or physical, but about whether it’s interesting/feasible to test/draws too much attention/a central enough example of physics or math.