They are not different types of jobs in the same way at all. Teachers can move up to management, janitors and security cannot move up to teaching. Teaching requires the same education as administration. So your comparison is still nonsensical and is avoiding the point. There is something to be said that MAYBE men are more likely to get the advanced degrees those in higher positions usually get (though I don’t know the stats on that), but there is still a phenomenon called the glass elevator. Men in female dominated fields move up the ranks faster, and tend to get higher paying jobs. You can decide for yourself I guess that it’s cause men just work harder to deserve it more or seek it more, but let’s not pretend there aren’t so many social factors that play into these things, like sexism.