I think that, and feel free to correct me if I'm wrong, women want to be treated specially until it is sustainable to treat them equally.

If that makes sense.

EDIT: But the phrasing of that dichotomy I think misses what is really being asked here. If you accept that these passive aggressive acts are a sort of negative reinforcement brought on by neglecting to think about women as people. Then the request would be to keep women in mind while you go about your activities.