The whole new requirement to make decisions routinely and take care of one's destiny - instead of influencing men to make "proper" decisions and caring for them - is enough to send women in bulk into a spiral of anxiety and depression.
Which makes them to withdraw from child-birthing. Because the one prerequisite for childbirth is an iron-clad secure nest of one sort or another.
The only bulk child-birthing pool of women remains are the women on the dole or passive income, who are the least desirable two groups to procreate. Negative selection is negative in every respect.
So the nation-state pushing for women rights (which in practice is more like a requirement for every female to get a job) automatically removes itself from Darwinian pool and the remnants of this nation will be absorbed into some other nation-states.