I remember reading somewhere that young people are giving up on having children because they can’t afford it - not because they don’t want it. Many adults now live with their parents because they can’t afford houses or even rents.

Education doesn’t mean obligatory contraception. Educated people can choose to have kids if they want and could. This is especially revealing if you look at fertility rates on the basis of household income (rich people still produce kids like rabbits).

I’d argue that it’s the living costs driving the fertility rates down, not education.