It seems that your entire understanding of gender and gender roles rests on the increasingly discredited theory that the division of labor between the sexes is fixed and originated in the earliest stages of human evolution. Recent developments in anthropology, archaeology and exercise science have undermined the image of man as hunter and woman as gatherer.
Before the development of agriculture and the construction of major cities, it would appear that the majority of humans lived in small, kinship-based nomadic groups, in which individuals assumed roles that they preferred, or in which they had demonstrated proficiency. Far from being a male preserve, hunting was an activity that both sexes engaged in--depending on the game they were pursuing (women typically have more endurance than men--useful when chasing large game and trying to exhaust them). Men, on the other hand, have superior physical strength and short bursts of energy--helpful when seeking other types of game.
And in these small groups, there was no need for hierarchical organization. The adults--both males and females--would sit down and try to reach consensus on issues. They were essentially egalitarian.
While they are under tremendous pressure to adopt a settled lifestyle by the Botswana government, up until recent years the San people of southern Africa followed a lifestyle very much like that which I have described--a lifestyle little changed over thousands of years.