> Reality stands on its own without belief in it.
What data?
> Even in countries with robust (ie expensive) pro natalist fiscal policy, it does not materially improve the fertility rate.
I'm aware of this. I even understand why... it's not that difficult. While it probably remains true that you can bribe someone to raise a child, the monetary amount required isn't a few thousand bucks. But if a government needs 100,000 babies to be born, they also can't afford to pay $1 billion each. So they cheapskate out, and we get bribes far too small to make any difference. (One might also wonder what "product quality" one would get in such circumstances.)
> I ask, out of curiosity, what you do believe the culprit is
A contagious mental illness. We know some mental illnesses to be contagious (teenage suicide, for instance). This is why the surveys are so useless. Psychology has already hinted that people often do not know why they make the decisions that they make and instead invent post hoc rationalizations after the fact. Asking them "why did you have no children" isn't going to elicit any useful information at all, any more than asking the 15 yr old why they attempted suicide after 3 other teens did so in nearby towns.
> researchers found "one extra percentage point of GDP spending" on early childhood education and child care programs was "associated with 0.2 extra children per woman."
The education itself isn't what causes this. But the public schools are the place where the contagion is endemic, and so that's where they're exposed to it. You'd find all sorts of strange differences if you knew where to look, I think. Girls who "graduated" illiterate without an education to speak of would have fertility rates just as low as high achievers, because they're still exposed to the contagion. I doubt that elite private schools are safe either, because though it would appear that those schools are disconnected from the system at large, they're still staffed by the same sorts of teachers and administrators moving back and forth between public and private schools as their career progresses.
I should also point out that dissolving the public education system (even if that were feasible from a political standpoint) is unlikely to change things substantially. New vectors are arising, ready to take over. I don't think we can policy our way out of this.