Great post, I’ve been pondering a similar idea for a while.
It would be interesting to consider the effects of a possible AI singularity, where a species can produce a higher intelligence than their own.
In that case, a superior artificial intelligence could be capable of outcompete its parent species by natural selection. In turn, a self-improving intelligence has the potential to start its own evolutionary line, substituting biological entities (replicating information embedded in genes) by pure information entities.
Each new dominant informatic species would be capable of more efficient and more sophisticated simulations, opening the possibility for increasingly complex nested universes. That would imply that the self-similar pattern of evolution could act on a universal scale.