I am upvoting both of you.
This is what people are like: only a minority of people will go through the motions of self examination, and only a minority of those will do that effectively. Where real change happens, or where outdated misbehaviors persist, it's basically a matter of primate see, primate do. Real change has to have a component of motivation at this level.
If women want to compete with men and not just be their toys, they need to exercise agency and own their decisions that "No, I am not up for a relationship with you. Because I say so, not because of some other man's property rights over me." If a woman says "I would get with you if I weren't with someone else" she needs to really and truly mean that. It shouldn't be a polite fiction. Such polite fictions tend to lead to worse trouble than the one they thought they were trying to cleverly sidestep.
I would argue that there is a concept of "relatedness" encoded into Homo sapiens on the instinctive level. The notion of "family" is at least in part a cultural construct on top of that. Also, who said I was arguing against "mine-ness?" I certainly didn't. I'm just highlighting possible unacknowledged/unsupported assumptions in this thread. (Like your apparent assumption of a particular stance on my part.)
It's the same logic behind insulting a man by calling his mother a whore. Why should he be insulted by an insult to his mother? Because a real man is supposed to defend the honor of the women in his family.
It just didn't happen when I'm around, because people who are jerks and abusers are, unsurprisingly, very crafty in doing it only in contexts when they are unlikely to get called on it. So male perception of this bullshit is almost totally unrelated to how much it happens.
As an aside, it made me really happy to come across a poster last week for the #stoptellingwomentosmile campaign: https://twitter.com/williampietri