No, the men have the political power and the women have the economic power. Women do nearly all the work, except for building houses and slaughtering livestock. Men who try to help with housework are mocked.
In fact, there are even some Mosuo that are actually patrilineal.
"The Mosuo are a single ethnic group with unifying cultural, practical and religious beliefs across their many villages, with one key exception: the villages in one area are matrilineal, passing down property and identity through the female line, and spouses live apart in their own natal households. The other group is patrilineal, with property passing down through the male line, men holding household authority and wives moving to their husbands’ households."
In most matrilineal/matrifocul cultures, the men have political power, but often with the support and consent of the women. Because these cultures believe in balance. That's the way it's always been.
https://www.theguardian.com/lifeandstyle/2010/dec/19/china-mosuo-tribe-matriarchy
"Men and women are very much equals, but the women are just a little more in charge."
https://globalstudentsquare.org/chinas-kingdom-of-women-a-delicate-balance/
“That may be true, but Mosuo men continue to make important decisions about family life. According to Yang Lurong, Zhuoma’s 25-year-old brother, their uncle Ercidaer is the head of the village, helping families manage their money and even overruling older women as long as he takes everyone’s opinions into account.”
Unless you can provide some sort of documentation that is better than "From what I've read" I think this issue is settled.
