Hi Violet.
I didn’t mean to limit the discussion to vertebrates; I was merely trying to focus on higher animals since some lower creatures are asexual (protozoa) or hermaphrodites (earthworms).  But you are right that many invertebrates show a sexual division of labour too.
If I may say so,  I think your questions miss the point (‘Just what is it you would like to prevent me and other women from doing? What is the supposedly genetically determined role you would like to impose on us?’).  It’s not an issue of 'preventing' of 'imposing'.  Rather, why would you want to play a male role (or I a female)?  I don’t see the logic in that.