It's a dispute of the implied claim that a developed nation with women's rights can't have high birth rates.

> known reliable way solution that generalizes

Why all these qualifiers? It doesn't have to be reliable or general - individual countries can each have their own approach, that only works after lots of tweaking, and even just intermittently, as long as it time-averages to replacement level. And it won't become known unless we look for it - more than the occasional sporadic attempt by a government that gets decried as racist and sexist for their efforts [1].

> exactly like Israel

Why "exactly"? If someone pointed to Japan when searching for solutions to reduce heart disease or medical costs in the US, would you also say "become exactly like Japan" isn't an option? Many countries similar to Israel have low fertility, while many very dissimilar ones have high fertility. Clearly, being exactly like Israel isn't necessary.

[1] 'Baby machines': eastern Europe's answer to depopulation - https://www.theguardian.com/world/2020/mar/04/baby-bonuses-f...