A gay man I didn't know tried to touch my boobs at a late ole bar. I jut backed away and gave him the "uh no" look. It didn't offend be as a woman just weirded me out as an individual interacting with a stranger.
I don't know if implies "ownership". I think maybe just the generally idea that women are made to be looked at by all people. To be evaluated by other women and men based on looks.
I guess it could be tied to ownership but I also think it stands apart from it. I guess being judges on the sexual pleasure you can bring to men, to my mind, is more a problem of relative value than ownership. So a man touching a woman I appropriately isn't to display ownership so much as feeding on the idea that it is complimentary to the woman to have her assets appreciated