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We can prove violation of the CHSH inequality, and hence compatibility with Bell's theorem, as a natural consequence of our formalism. See, for instance:

https://www.wolframcloud.com/obj/wolframphysics/Documents/so...

Or, for a less technical version of the basic idea:

https://www.wolframphysics.org/questions/quantum-mechanics/h...

The theory needs a lot of development, so it would be hard to say whether it could or could not comply with Bells theorem. But since it is Turing complete presumably there is some variant of the theory which complies with Bell's theorem.

I find it interesting that under this theory regions of space and properties of objects are emergent phenomena. I suspect that under some variants of the theory, properties of objects could act as if they are both random and non local.

I'm only halfway through the page, but so far it looks like it's describing a system that's compatible with the Many-Worlds Interpretation, and MWI is local without violating Bell's theorem.

It doesn't rule out superdeterminism.

It doesn't look like a local theory at all.