The "adjusted pay gap" is approximately zero for women--this takes into account all the things you said.

But then the question is: okay, fine, but why are those factors different? In some cases it seems reasonably explained by different priorities, but in others it's explained mostly by our society doing a really bad job supporting women as parents. If women stay in jobs 10% less long because childcare is too expensive/hard to find/employer doesn't give long enough maternity leave/etc., that's entirely society's fault for giving only bad choices.

The "adjusted pay gap" in the U.S. is not zero across race, but it seems to be much less often calculated than the adjusted gender pay gap. Still, same questions apply: are we forcing certain groups to have only bad choices? If yes, we can't then turn around and say, "Well, look, you chose that one--and that's what you get when you choose that one!"