I don't think that's the case. And I don't think you're an anthropologist or anything. It's just a convenient narrative when it fits into your own view. Polyandry was and is widespread in some cultures. I wonder if you would accept that as a state of nature.
A handful of cultures exist where polyandry is practiced, mostly contemporarily as a side effect of a paucity of women, and the woman is treated as a shared property amongst the men who also sleep with other women at the same time (North Eastern India, parts of Thailand, a couple of Native American tribes)