This isn’t quite true. The issue is that rodents evolve a lot quicker due to effective population size and generation time. As a consequence, the genetic divergence between rodents and humans is in fact greater than that between humans and pigs (see e.g. https://europepmc.org/abstract/pmc/pmc1142312), even though pigs branched off earlier than rodents.

Had a vague that something like that might be in play. I obviously have some reading up to do. My assumption was, that our branch would, until quite recently, have been rapid breeders too. And the pigs' one as well.