There aren't always. There are plenty of places that pay teachers well. The problem is that the qualifications for a school that pays really well are pretty much the same as the qualifications for a school that doesn't. Schools that pay well have 1,000 applications and never any vacancies, so new teachers have a hard time finding a well paying job. Public school employee salaries are public information, so you can actually look them up.
Average teacher salaries in Massachusetts dont look bad to me. https://profiles.doe.mass.edu/statereport/teachersalaries.aspx
Obviously, it's not universal.
It "helps" by thinking life is a zero sum game. If educated females lose, obviously that's a win for uneducated males.
Realistically it's just a lie to say that someone will be a winner other than just the guy with all the marbles.