Another factor is, with endurance hunting, you will need to carry the carcass back to home base. So let's take am antelope, which weighs 125 kg. You need the hunters to bring that all back to base, AFTER the multi kilometer hunt is over.

However, as far as portaging, women are very adept at that: https://en.m.wikipedia.org/wiki/Head-carrying

Olympic shooters would make the absolute worst hunters, have you actually seen them shoot? It's a test of hand eye coordination to hit a paper target.