If men started teaching, wages would go down, due to more supply. If fewer women went into teaching, wages would go up, due to less supply. That's how it works.

Men already do tons of low-paying jobs and get paid as little as companies can get away with. Yes, there is a bit of a bias against woman-dominated sectors, but it's a small factor compared to the bias against teaching.

Most tenured professors are men. In any useful field, they make a half to a quarter of what they'd make if they were not in academia (i.e. nothing teaching-related). And if they are in an institution that focuses mostly on teaching instead of research? Another 30% pay drop.

Speech pathologists are almost entirely women. They get paid way more than teachers, but the job requires similar amounts of training. Prosthetists are mostly men. Similar level of training to speech pathologists, similar salary.

Really. It's not going to help to have more men in teaching. We just don't value teaching enough. Not because women do it more, but because we don't care about others (e.g. our children) and the future as much as we care about ourselves right now. Really sad, but mostly not sexism.