Yes, but there is little or no effort among quantum physicists to determine whether these fantastically precise predictions actually mirror reality. I don’t see how you can call it a settled question that quantum physics is correct until someone actually does such a study. If the actual experimental parameters only loosely approximate what they claim are highly precise theoretical predictions, then one would have to wonder whether they’ve got it right.
No, they don't loosely approximate. The experimental results are exceptionally close to the theoretical predictions. That's why it's a good theory.
As for getting it right, it's the best theory yet devised to describe subatomic particles. If you apply relativity theory to subatomic particles, you get bad results.
And that's the contradiction in physics. We need one theory (relativity) for large objects, and a different theory (quantum mechanics) for small objects.