I'm reticent of falling into this endless conversation again, but it's a bit addictive.
I believe the point is that the Standard Model is still built on Quantum Field Theory, but looking into what's really going on under quantum mechanics is a bit taboo and very few people are spending time on it.
Frankly, I acknowledge that I am an outsider and that surely my perspective is far too naive and simplistic, I'm sure the reality in the field is far more nuanced. But still, I'm in good company when I question what's going on, like Einstein and many other prominent physicists have.
It is true that the end of the conversation was just "shut up and calculate", which is wise on some level, but it also implies that the mathematical model is the end-truth and you should unquestionably just build on it. There is a consensus that the mathematical model of quantum theory is really what is mechanistically happening, and that the wave function is a real physical thing.
But one can also argue that it is merely a probabilistic theory that, yes, describes the probability distributions of what will happen extremely accurately, but still is a partial answer and it doesn't actually predict what will happen. In every other context, we use probability to describe processes that we don't have a complete model for. It is a bit presumptuous to think that in quantum mechanics probabilities are somehow fundamental and not emerging from more deterministic underlying phenomena.
You can have a theory that says that there's an equal likelyhood of getting heads or tails on a coin, and that theory can reflect the statistics extremely accurately. But that is obviously not the end of the story, there are deeper mechanics determining if you get heads or tails at each given time, it is not fundamentally random, you just don't fully understand what's going on yet.