Yes, yes - it looks like the Giant Evil Patriarchy is yet again telling lies about women's abilities and participation in higher-status, male-dominated activities.

OTOH - notice the longer-term advantages, for most historical agrarian societies, of pushing a "heroic male hunter" stereotype. If warfare is all-too-common, losing wars is generally disasterous, and you can convince your males (especially the younger and more aggressive ones, who tend to cause a lot of trouble at home) to zealously fight for your society - that may be your best-case use of human resources. The wiser heads know that, if push comes to shove, the women can and will do whatever is needed. So if ~~30% of the society's males get killed off in some big war every few decades, that's actually quite survivable. Vs. a similar fraction of the females getting killed off would be a real disaster.