Would you agree that women are the gatekeepers of sex and men are the gatekeepers of commitment?

Anonymous
Not to sound sexist at all but do you ever think women are the gatekeepers of sex and men are the gatekeepers of commitment?

For example a guy will date a girl and may eventually want sex but if a girl puts out too easily, he won't see her as dating material because he figures she's sexually desperate and will do it with any guy who's willing.

Much like a girl who eventually wants a relationship from a guy but if a guy moves too fast too soon and shows too much interest and commitment, he'll be seen as desperate and needy and that he's just wanting to be in a relationship with anyone, not specifically her?
Updates
+1 y
Regarding the whole sex bit, it's one thing if you've known a girl for a long time and you start dating and have sex early on then it's a little different but if it's someone you barely know, like met off a dating site and they put out early on within the first 2 dates, that's when you think they're easy because you wonder how many other guys she sleeps with that easy. There's always those special occasions though.
Would you agree that women are the gatekeepers of sex and men are the gatekeepers of commitment?
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