The reaction to that idea shows you how undervalued baby production still is. Morons insist that $20k or similar is enough incentive. It's laughable.
Whatever happens with AI "taking all the jobs", this will drive real societal change, because it has to. The options are obscene authoritarianism and removal of bodily autonomy from women so we can just force them to reproduce like society is used to, or actually adapting to what it will cost to encourage women to go through literal trauma and 20 years of really hard work because the rest of society will benefit. Seeing as de-facto enslaving all women is horrific, I hope people see that we should do everything to avoid the first option.
It has to become very attractive to be an average person, with average social standing, with average resources. The uber rich might have to give up some of their share of the pie.
It is possible going significantly higher could, but if so we have not yet figured out how high, and it's clear the threshold is much higher than people have tended to think it would be. E.g. look at financial incentives in Hungary, or the welfare system in places like Norway that makes parental leave in many developed countries look like third world conditions.
Rich people do seem to have a somewhat higher fertility rate, so it is possible that you could fund it enough, but the rise happens at high enough income levels I don't think our economy could handle it.
I agree with the rest of your comment, though - I just don't think we know if purely financial motivation would be sufficient at a level that is actually possible (and I do fear authoritarian approaches will end up being tried instead). It might take a lot more effort than that in terms of lightening the burden and/or making it more attractive in other ways.
If child rearing is a full time job maybe we can treat it like one.