I would not presume to speak for God, but my understanding of the TOB is that it is about *unitive complementarity,* not a superficial complementarity of gender stereotypes.  

I am not shoe horning anything into buckets.  For more on my study of the TOB, you may want to check my website:

Meditations on Man and Woman, Humanity and Nature
http://pelicanweb.org/CCC.TOB.html

This is my swan song:

Appeal to Pope Francis ~ English
http://pelicanweb.org/CCC.TOB.120.html#english

Peace be with you,
Luis