I don't think it's so much about "affluent suburbs" having "great" schools and some places having very bad schools. I grew up in an upper middle class Virginia county that nonetheless spent less than the national average per student on education (back when Virginia was a red state), but had well regarded schools. I think in most of the country, if you live in a community where nearly all the kids parents are married, the schools will be fine, even if the places aren't "wealthy" or don't spend a lot of money on education.

I also went to some very good schools and did not live in a rich area. It was a good area sure, you weren't going to hear gunshots on your walk to school, but it was not the "rich people" area. The rich people area actually had worse schools academically speaking. This makes sense when you think about it. We tended to have a lot of students whose parents were highly educated immigrants, whereas the rich part of town generally tended to be old money and not as focused on being hyper competitive academically.