My point is, you're trying to prove cognitive evolution via...cognitive evolution while assuming evolution shapes cognition

No. He's saying "if evolution shapes cognition this is what we would expect. Oh, hey, look! We see that."

Incidentally, I suspect that even you don't think that evolution and cognition are completely unrelated. Different species are in different niches with different degrees of intelligence, and there's a heavy correlation between what sort of niche a species is in and how intelligent it is. Thus for example, omnivores are generally more intelligent than other species of similar size.