The fact Sunseeker women take the name of the father has little to do with patriarchal power and more with easy information. Since a tribe's territory is (traditionally) related to the local Nunh, other tribe members could identify where a Miqo'te woman comes from by knowing her father. "Oh, so you're one of Borlen's daughters. How are things on the other side of the river?"
A patriarchal society would have the fathers be important in society or family by giving them authority. The only thing the nunh have is a right to have children because they are the bravest/best. That's not leadership. It's eugenetics.
Then again, it's likely Squee just made up a bunch of arbitrary things to cater to the 'OMG harem catgirl society!' factor and then forgot to follow up on it beyond that (as evidenced by the U tribe).
A patriarchal society would have the fathers be important in society or family by giving them authority. The only thing the nunh have is a right to have children because they are the bravest/best. That's not leadership. It's eugenetics.
Then again, it's likely Squee just made up a bunch of arbitrary things to cater to the 'OMG harem catgirl society!' factor and then forgot to follow up on it beyond that (as evidenced by the U tribe).