Obviously, the job market doesn't respond to demand in that way. Otherwise, more places would be paying more right now with the current shortages. Teachers, for example, should be getting raises.
I was responding to the fact that doctors aren't female-dominated right now, a point you missed. Which they aren't. We haven't flooded it with a bunch of women: We have a limited capacity to train doctors. Nor are we getting folks in the market that used to be housewives: That time period has long since moved, though in many places, women still carry household responsibilities in addition to work. Rather than a flood, women are replacing men, mostly. Which is generally how it goes: Women replace men in some fields, and then pay goes down.