sex, arousal patterns, reproductive and immediate caregiving roles, hormonal effects on development and operation--these all seem relatively stable to me, and seem to be most rooted in biological and psychological facts.
so, i don't think its untenable to imagine some role-ishness emerges from these basic foundations. with that said, there's a lot more to life, family, partnering, creativity, and just doing work that shapes us too.
yet, with even just some layer of engendering, so much iterative stuff happens upon that too that expands its seeming importance. bc, in the process of negotiating for power (our resources: our cognitive personalities multiplied by our body types and by our motivational styles), we commit to identities and find strategies that reproductively (and CREATIVELY, in general) empower us and our quests to live forever. sometimes this quest doesn't get past the moment and the desire to simply feel important/successful. other times, it does, and takes on more dimensions.
to me, then, gender is part of the story arc of immortality, even if nowadays we have the attention of cracked-out-on-social-media birds, and more and more of that larger quest has been rolled into socio-economic status and self-marketing games. some people reject or try to subvert the market even as they become more and more dependent on it. being with other people and the expectations that emerge and the ways in which we rely on those to know ourselves and our own respective worths is messy. any path of taking some responsibility to make yourself takes work.