Gil Kalai has been beating this particular drum/dead horse for decades at this point. Having read the paper, it seems pretty consistent with his previous work ... it all crucially hinges on the postulate that, somehow, noise will prevent this from working, but he has yet to actually come up with a solid explanation for
how.(Even this paper, ultimately, relies on Conjecture 4, which essentially comes down to saying that "Well, we've proven this one particular system runs into noise issues, so we're just going to assume that some grand physical principle will cause this to extend to every possible small noisy quantum system.")