[desmosxxx]

IIUC, that is just a hidden variables theory. Bells theorem tells us that it would at least be non-local which is just as weird/interesting IMO.

[demurgos]

I really enjoyed this Minute Physics and 3Blue1Brown video describing hidden variables and Bell's theorem: https://www.youtube.com/watch?v=zcqZHYo7ONs

As you said, it's implies that we're not failing to measure some "hidden variable" that would explain probabilities away, but that the vary nature of these objects is probabilistic.