She doesn't fully understand what she wants here. In the real world, The dominant male would have his pick of the women. The matriarchy still wouldn't exist, and she'd be apart of a harem. Most women wouldn't catch his attention in this power fantasy.
She's wrong because as a strategy "all the men fight for the amusement of the women and the women get fucked by the winners" loses to "men agree to parcel out the women and spend fighting energy taking the women from the next tribe over"