I read that article a few days ago, and bits of the technical papers. I think it’s a bit misleading to lump this in with ideas like 't Hooft’s cellular automaton interpretation of quantum mechanics, which necessarily struggles with things like Bell inequality violations, having to appeal to ‘superdeterminism’, which is at the very least a controversial notion, or the approach of D’Ariano and collaborators.
I’d rather lump it in with what I call ‘ensemble theories of everything’, something like Tegmark’s mathematical universe, Schmidhuber’salgorithmic theories of everything, or Standish’s theory of nothing: it essentially gives a particular parametrization of ‘everything’ in terms of a broad class of computational rules, and then follows a two-pronged approach to get out the universe—first, appeal to generic properties to get the basic form of the laws, and then, try to single out a given realization corresponding to our particular universe (although he does hint that this latter course might end up collapsing to the former, as well, with the appeal to the use of all possible rules in parallel).
I’m of two minds regarding how wowed I should be by the successes of the approach (which I can’t claim to have exhaustively evaluated). In one sense, they may simply tell us that the gross properties of quantum mechanics and relativity are pretty generic—it might be harder to make something that looks even remotely like a universe without having these features (indeed, in a sense, one should be more surprised if that weren’t the case—for then, how did our universe get chosen to obey these particular laws?).
Furthermore, with now having to figure out which particular rule should give rise to our universe, it seems to me he’s running into a familiar problem—see also, string theory’s 10[sup]500[/sup] possible compactification, one of which might give rise to something like our universe, or QFT’s possible gauge groups, and so on—so in the end, perhaps what he’s done is just figure out a sufficiently general language to talk about very many kinds of physical laws, with the real input now being required in the form of the specific form of the rule.
But of course, even having different formalisms to approach familiar problems is something worthwhile, and may lead to new breakthroughs. As it is, his work is certainly impressive—not least because of the sheer volume of it—but whether the approach has any actual promise remains to be seen.