I guess that depends on the particular group we were talking about and the time of year, but yes, you are quite correct in saying that our ancestors’ diet was primarily on the gathering side.
We evolved in such a specialized way to run and hunt because those groups that could reliably supplement with meat had a big advantage.
Interestingly, this revelation about the route of our evolution coming through “persistence hunting” solved a quiet but notable problem in Anthropology.
Doubtless you’ve heard the tale that superior Cro Magnon replaced inept Neanderthal. The truth is somewhat different. At the time Cro Magnon came on the scene, Neanderthals were living in large complex tribes, cooking meat in stone ovens, burying their dead, caring for their sick and wounded and hunting after the largest game in complex interractive groups using sophisticated weapons.
Neanderthal was much bigger and stronger than us, and arguably more intelligent. They had larger brains.
So… the embarassing question was: How does weak, sissy, disorganized, and stupid Cro magnon man outcompete Neanderthals? No sane betting person would have put money on us.
Well, we could run long distances. Neanderthal could not. They’re not built for it. In the fossil record there are these cases of Neanderthals with rodeo type injuries from (presumably) trying to take down all this big game.
Persistance hunting though, is a pretty sure thing. You go after the fast animals that are much more plentiful and of which there is a large variety. Instead of fighting them, you just chase them until they collapse. You don’t need weapons, you don’t have to get hurt, and, apparently, from the few groups that still practice it today, it’s a pretty sure thing.
It’s a lot more flexible and elegant a style of hunting, and it pretty much moved us from scavengers to the top of the food chain, as no other animal practices that type of hunting.