first let me say that we do not know for sure that only the men hunted in forager societies. *Although it is likely that men did the majority of hunting it is not uncommon for women to participate in localized hunting and to hunt more exensively when they do not have young children that need to nurse.
As for the oriental cultures i think what tamlin really means in soceities with a confucian past (China, Japan, Korea, Vietnam) *Which is also the source of the repression of women. A lot of the cultures that were present until missions destoryed them were matriachal or atleast valued women and assigned them powerful leadership roles.
And although this country likes to pretend everything is equal among all people not just genders we are far from achieving that goal.