Facts:

• 1954 : The proto feminist Korean Center for Family Law is established
• 1958: Korean fertility rate starts free falling
• Early 1970s: US feminism starts infecting Korea
• 1973: Korean fertility rate starts falling at an accelerated rate
• Late 1980s: Korean feminists (briefly) reject radical US feminism, focus on human rights and reunification, not "gender equality"
• 1989: Birth rates very briefly, very slowly increase
• Early 1990s: Radical Minjung feminism emerges
• 1991: Child custody law "reformed"
• 1994: Birth rates lose all increases from late 1980s, start dropping at a faster rate

1958 fertility rate was 6.332, currently at 1.082 (lowest fertility rate in the world).

https://www.macrotrends.net/countries/KOR/south-korea/fertility-rate

Yes, the real problem is "misogyny". Yes, double down on more feminism, that'll fix it.