Does Wolfram's model correctly generate the many worlds of quantum mechanics? I get the impression that it doesn't, and I've seen it claimed that this has been

Does Wolfram's model correctly generate the many worlds of quantum mechanics? I get the impression that it doesn't, and I've seen it claimed that this has been mathematically demonstrated, but I can't say for sure. That includes variability in some things that are constant in our region of the universe. It's fine for everyday purposes for us to regard things like the ratio of masses of the particles or strengths of the forces as fundamental and given, but a truly fundamental theory needs to generate the entire landscape, possibly including variation in the number of extended dimensions of space. At the same time, there is a sense in which it's easy to do that: just use a universal Turing machine. A correct fundamental theory should generate something akin to the landscape of string theory, but at the same time not generate e.g. Conway's Game of Life. Is Wolfram's theory being evaluated on achieving that delicate balance between generating too little and too much?