Interesting. My DH and I in some way have a traditional split of chores (I do all cooking, but never put bins out) but within a less conventional arrangement: he is SAHD, I am WOHM.
But in reality, a lot of the split is to do with character and individual preference. He is very fastidious about certain things, so does them to his satisfaction (which I wouldn't at all) . I am more bothered about others. Once we reversed the usual gender roles, it freed us to do as we wished. That said, I will happily do more technical things but DH likes to do them himself. He seems to deal with a residual anxiety about his unusual role, and possibly appearing emasculated, by being very particular at doing the traditional man's jobs.
I was horrified once when my mother told me to cry to get my own way on something. I would rather chew my arm off than do that. I find it interesting that it is more acceptable for a woman to cry e.g. at work, even in a blatantly manipulative way, than simply to get cross (not even angry) and tell it like it is. That depresses me greatly.
Oh, and flirting for its own sake is fine, but flirting to get something is not, in my book.
The one thing I've not been able to negotiate around is the importance of appearance for women, especially in the workplace, especially for BME women. I do power dress, even when I don't need to. DH often says, on non-meeting days, 'Oh, just go in casual clothes' and I know I could. But my strong feeling is, it would do me no good at all. I often look at the younger women and think they do themselves no favours with their floaty dresses, ballet flats, and wet hair. Then I berate myself for being an 80s throwback lacking in feminist solidarity.