[Kharvok]

What would this select for? All you would be doing is establishing a poor proxy for general intelligence though you would likely select for general intelligence on the whole by grading "maturity".

[Kalium]

Also "good behavior" is a proxy for a healthy home life, which is to a great extent a measure of social and economic class.

[bell-cot]

Yes - but how many high-class (social or economic) parents would fight hard to get their kids into schools with bottom-percentile per-pupil funding?

[sacrosancty]

Funding doesn't seem to do much to make a school desirable. By far and away the biggest factor that determines how good a school is is the socioeconomic status of the parents. A school doesn't need more money to be better at educating, it just needs better students. If they happen to form a critical mass at a low-funded school, then that'll become an elite school.

[Kharvok]

and household economic prosperity is generally corollary to what?

[amanaplanacanal]

Inherited wealth?