It depends on what you mean by meat. While most primates are omnivores, the bulk of them only make that category by eating insects and grubs. While it's true insects and grubs are technically animals, that's not what most people think when they say "animal". The article the AC linked makes the point that a real "paleolithic diet" would be mostly vegetarian because our guts are derived from other primates which are mostly vegetarian.
In any event, my point was that he's wrong. Our ancestors were not vegetarians.
And you are dead right. But our closest relatives among primates, gorillas, chimps, orangutan and (to a less closely related extent) gibbons, all eat actual meat, not just insects and grubs. So even if the great bulk of primatekind were totally vegan our closest relatives are not and that kind of closes the argument.