All the workers (teachers, bus drivers, janitors...) have to pay more for housing or commuting, so yes.

In my mid-sized Midwestern city, the worst schools pay their teachers the best by a long shot. The best schools pay at or under average.

They still have trouble finding teachers. Probably due to all the lock-downs due to credible threats of violence, being cursed at and threatened by 7-year-olds on a regular basis, that kind of thing.

Send those kids out of their neighborhoods ? Mandatory school desegregation should be the norm.

IIRC you're right, and bussing's one of the only actually-effective tools we've found for solving this problem—but it's also an incredibly-unpopular policy among a pretty large set of the population. Like, get-people-out-in-the-streets-rioting unpopular, if you kept at it.

For racist reasons, yes, but also because home prices have become a proxy filter for schools (filtering for kids whose parents are able and willing to pay inflated prices to send their kids to school with other kids whose parents are able and willing to pay inflated housing prices—it's a feedback loop).

The premium's a good 20-25% around these parts for safe-neighborhood-good-schools versus safe-neighborhood-mediocre-schools, so not nothing, and the entirety of many home buyers' equity early in their mortgage. Harder to compare with neighborhoods where the schools are outright bad since the houses there are usually in much worse shape and in high-crime areas, but one must assume the effect would be far stronger still, if one could find an all-else-being-equal comparison.

Still worth doing? Maybe, but if you just tell those middle and upper-middle class folks (actually rich people unaffected, as usual) to screw off and eat a loss you're gonna have some difficulty. And that's before racism even enters the picture, which of course it would.