Very interesting, but fantastic genetic traits like precognition and ancestral memories are (in fiction) a traditional good fit for the Mendelian inheritance pattern of few and high impact mutations.
I've idly wondered how you could interpret all the mutations in X-Men, but I don't know enough about the families or inheritance to make any reasonable guesses (I've seen a few cartoons and movies and that's about it). I know mutants generally have mutant kids but don't the powers differ? Which doesn't make much sense and I can't retcon it. I have noticed, however, that in _My Little Pony_ (which I've finally gotten…
With regard to the X-Men, I think they imply the "present day" is a Cambrian explosion, that then settles down in the far future into the most useful powers becoming common if less godlike levels: immortality, psi, telekinesis, and any other boring wish fulfillment.