I'm not sure, though, that the numbers there reflect actual need so much as they reflect demand.

I'm not necessarily saying that meeting demand would be wrong. But it would definitely be lower in my personal value system than meeting authentic need, which should take into account those children who don't (for whatever reason) score as well as they "should" as well as those whose scores are being artificially inflated by all manner of external leveraging.

Schrödinger's cat walks into a bar. And doesn't.