Though non-local hidden variable theories need to be reconciled with special relativity lest it be possible to transmit information faster than light.
See the non-local, higher-ordering properties of true holograms and eg. this mixed fluid experiment: https://www.youtube.com/watch?v=UpJ-kGII074
More on all this in Michael Talbot's amazing book "Holographic Universe": https://wikischool.org/book/holographic_universe
Then we would be back in a universe where we have an extremely useful concept in the humble random variable, and no examples of anything that is fundamentally random. If I start with a random variable, I couldn't reasonably approximate it with a real phenomenon, because the phenomenon would be deterministic.
Compare that to a line - I can define a line between the center of mass of my two hands. We can quibble all day about whether that is a well defined definition (I suppose it isn't), but if I wanted to approximate a real line with two points in space I could.
I contend this is an interesting an important difference between subjects like geometry and subjects like statistics. The underpinnings of statistic are _extremely_ philosophical.