Whether classist, racist, or coincidence, the results are obvious.
And I didn't ask for one. I want one on the origin of school districts. As you noted, neighborhoods were segregated. As a consequence of that, everything local was de facto segregated, but that doesn't mean you can infer that everything local has a racist origin.
For instance, since neighborhoods were segregated a neighborhood's sewers were generally only available to one race. Do you conclude that public sanitation has racist origins?
I'm surprised segregated/poorer neighborhoods having worse services is up for debate.
Segregation had racist origins. Segregation was by race. But I concede, not everything local has a racist origin, obviously.