If that were the case, then female feticide, acid attacks, and daughter-in-law abuse wouldn't be a problem there. There's still colleges in India where if they find out a girl has had premarital sex, she gets made fun of by her classmates and will even be asked to leave by the administrators. That doesn't sound like matriarchy.
The matriarchies that do still exist on earth are located in remote regions of Africa. Matriarchies most of the time are extremely primitive, openly sexual and its because the men are lazy. There's tribes in Africa where the men literally do nothing but lay around, sometimes get high/drunk, and fuck. The women build the huts and maintain food supply, which is hard to do while pregnant and with the social structure that women tend to follow. That's why they live like animals still.
Anthropologists try to say they are egalitarian, and "pro-woman" but they're not. No such things exists with matriarchy or patriarchy. They fail to recognize how civilizations (patriarchy) are built by men trying to impress and/or acquire women, sex by power.