I never considered that this makes a ton of sense: of course we didn't evolve from apes, after which the apes just stopped evolving and froze their DNA and never had mutations again. Of course they'll be different from their ancestors. But that doesn't mean that our common ancestor was an alligator or something and we developed all ape-like features independently of each other. That's what I took it to mean (when I heard this, idk, maybe as a teenager more than ten years ago), but your comment makes a lot more sense.