Um...
So the study you cite compared SIMILAR-DECISION males and females, and found similar wage results?
But did you forget what you said just before that? That men and women were "encouraged" to take different (and differently-paid) jobs?
In such a regime, I'd expect to see women "encouraged" into relative poverty, compared to men. Wouldn't you? An "encouragement" rapidly reinforced by their "lack of skills" from NOT being on the male track -- as you very competently pointed out.