From my life experience, this is my conclusion to this.

A man may want to get to know a woman superficially, if he wants to become her lover (or possible boyfriend). He might ask her what she likes in bed. The sweeter ones might ask where she grew up, her favorite color or her favorite flower. They usually don't want to go deeper than that. They do their thing and part ways.

A man might want to get to know a woman as a friend, although there's usually a stopping place there, too. They might go out and do stuff, like go to an amusement park or go hiking in the mountains. He's probably not going to want to know who she's dating (if anyone), he's probably not going to care about her hopes and dreams, or the little things going on in her life. Conversations are probably not going to be very deep. Most of my platonic male friends have been like this. Not all, but most, perhaps about 90% of them have preferred this kind of thing. That's why, with the rare ones who do like that deeper connection with their friends, I let him take that first step towards opening up, and just listening to what they have to say. You can't go wrong.

With boyfriends, they might care about getting to know you, but as long as they're getting sex, they usually don't complain about it, if you are more cautious about having them get to know you. That's what about 95% of guys want anyway, and I've found that a good many will at least pretend to be interested in getting to know you, as long as sex is a consideration. Listening is important too, but with most of the men I've dated, that doesn't go both ways. They want to be listened to, not do the listening. That's the way most men are.

So I would say, in conclusion, that a few men do want to get to know a woman, but most would rather skip over it entirely.