The complication is the time-scale disparity."What I have read by anthropologists is that the "traditional" role of women was a matriarchy, since the men were usually out of camp on hunting or trading trips.
It was only when desertification in the Mideast caused constant war, that males took over the lead role." R5 #2,900
A transition from matriarchy and patriarchy can take place in a generation or two.
The evolutionary time-scale is orders of magnitude longer.
The complication is the statistical component. Even in a matriarch-dominant culture there may be a family or two with a passive wife, and a dictatorial husband.
Thus it ends up being a quibble over ratios, in a transition that may not leave much paleontological evidence of the culture being characterized.