I think I have thought of, not a disproof, but evidence against what you're suggesting.

For every regular mathematical system, there exist infinitely many slight non-regular alterations of the system, implying that, if you are correct, there are infinitely more non-regular universes than regular universes. Under the principle that there's nothing special about our location in space/time/etc, we ought to find ourselves living in a "typical" universe, that is, a non-regular one. Yet, our universe appears to be highly regular.

Maybe you can argue that most such universes have very small irregularities...