Progressive Randomization in Cellular Automata

In stable diffusion, there's an annealing process used that always makes successively successive steps progressively smaller and essentially forces a fixed point to be reached. But let's now try progressive randomization where we modify successively more values in the definition of a rule of the rule. For a while we get roughly similar results, but then much like in the cat examples above, things eventually fall apart and we get much more random results. So one important difference between stable diffusion and cellular automatres is that while in cellular automata, the evolution can lead to continued change forever. In changing the rule, one is in effect moving in rural space.