@Daojoan
The thing about ancient hunting is that it was endurance hunting. That's what makes humans so vastly more capable hunters than anything else out there: we can sweat, and therefore we can chase an animal for miles on end. Most animals don't sweat, and they can't run long because of it, they overheat and collapse.
It's a total myth that "depth perception" played any role or even that women have somehow worse depth perception than men. Women can run just as well as men.