On numerous occasions in post-Soviet Russia, conservative politicians and the Russian Orthodox Church (ROC) have called for anti-abortion measures and the return of traditional gender roles. However, medical experts have defended accessible abortions, and no health minister has previously argued that women should prioritize childbirth over education in order to raise the birthrate.
A while back, I looked at graphs for a number of countries showing TFR and compared against dates of legalization of abortion. Didn’t see much (though could be that ilicit abortions or people going to another place to get an abortion limit this).
I did see visible drops for at least some countries where oral contraception became available in that country.
Didn’t do a real statistical analysis, though.