In a truly equal society I would expect approaching to be 50/50 and not a gender based issue.
Absolutely. Why shouldn’t both sexes learn to send and receive non-verbal signals and take explicit rejection when asking and assume tacit rejection when not asked? There is a reason that the lamp has a movable plug and the wall socket stays in one place. It’s called “complementarity,” and it is the bane of every feminist’s existence, because it explains that the opposite of their notion of “equality” is not “inequality,” but “specialization.”