According to your logic - A patriarchal culture has influenced what roles society find desirable, and therefore we ought to declare that those roles ARE in fact desirable, and the roles patriarchal culture has deemed less desirable , we declare they ARE in fact less desirable.
How does that do anything to patriarchy except by reinforcing it?
If those who are not in the roles patriarchy has defined as desirable, and are in the roles patriarchy has defined as less desirable, by doubling down on the patriarchy's preferences, they have rigged the game and declared themselves the losers. How can equality be achieved?