Canonically Bruce doesn't actually sleep with any of those women, he just plays it up for his reputation and the girls go along with it 'cause they can say they slept with Bruce Wayne and I think he even pays off some of them to pretend he did if they aren't like that, IIRC. I don't think Bruce has had much sex outside his actual love interests, if any at all.
Canonically ? which version of the canon are you referring to ? One of the 4-5 Different batmans from the movies or one of the ones from the several animated movies ? or from one of the several TV Series Including 2D and 3D animations
. If a billionaire was paying women of low morals to tell others he had sex with them then the rumors of him doing that would be more widespread, the Tabloids would have fun guessing what's he trying to hide.
Sure most of the stuff with Batman in it is intended for younger audiences so his sexual encounters are implied rather than graphically shown like in Game of Thrones. Depending on the storyline and the version (comics/TV show/movie/etc) he has been oficially in love with a lot of Heroines and Villainesses. Would Love to see a proper R-rated movie with Batman in it like the Logan Movie, Ben Affleck's done a pretty decent job at playing at-least the batman part of the role, those fight scenes in BVS were delicious ... not the killing part though. Just Batman Crippling random thugs left and right.