Yes.  The argument can be applied to this.  I've tangled with many sexist types and they all believe that women are "happier" if they are housewives.  They use the same language that Pope Francis uses to exclude women from Holy Orders - i.e. that woman are sweet and nurturing and should be mommies rather than leaders.   Of course those who want women barefoot and in the kitchen will use complementarianism to exclude women from leadership positions.  And Sara Butler's arguments go well beyond ordination.  She argues that women's cycles makes them sweet and fluffy and apparently good at housework and childrearing.  This is exactly the sort of language that is used to exclude woman from certain fields from math and science.  It also is the basis for Pope Francis' fixation on gender theory.  He doesn't like any sort of program that aims to break gender stereotypes.