> No.
Yes.
The topic was leveling out district funding, not paying teachers more. Leveling out district funding might help a little, but it's not the main cause of bad schools/districts. Paying teachers more might help, but would also not do much for the worst districts. Those bad schools and districts are, to a large degree, merely symptoms of larger societal problems that schools aren't equipped, empowered, or intended to address.
The problems are in how our economy is structured, how our social safety net is scoped, funded, and arranged, how fallout from various racist older systems have affected the current state of the country, the justice system, and probably in certain socialized behaviors or attitudes (which are all tied up in those other things, anyway). You cannot turn a terrible district in a very bad part of the city, or awful, poor rural school districts, into good districts just by giving them more money, no matter what they spend the money on (unless you put the schools in charge of sweeping social reform programs, I guess, but I don't think anyone's proposing that and it's probably not the best way to administer such things).
The kids and the parents have problems the schools can't fix, and those affect school life in ways that put a ceiling on how well the schools can do, no matter how good the schools per se are. The main reason some districts or schools are better than others has more to do with selection bias than funding—schools with easy-to-teach kids do well, schools with hard-to-teach kids don't, and the reasons some kids are in one of those categories and others are in the other mostly aren't within the scope of what schools can fix, period.
Rich districts aren't good mainly because they have more money on account of high house prices, but because high house prices and (sometimes) other circumstances (car dependency, commute range) select for kids with stable, comfortable home lives, parents who value education and are themselves educated, and little criminality or blatantly anti-social behavior in (at least) their immediate family & friend circle—because absence of those qualities in home-life tend to correlate with poverty, so, with not being able to afford to move to districts with expensive housing. The house prices are an important part of the reason, but not (mainly) because they enable higher tax revenues.