Do you understand what 'rich fuckers' do now? They pay property taxes at an obscene rate to fund their local public schools and then leave the public school system to privately fund their children's education elsewhere, leaving more money in the school system for the other students.
I think it depends on how you define "rich fuckers". Astronomically, family-dynasty rich? Sure, they pay big property taxes either in an urban school district which is so chronically underfunded and mismanaged that their generous and unused contribution doesn't make a difference or in some elite suburb which is so generously funded their contribution doesn't matter. And they're so rich they don't care.
On the larger scale though, the HENRY (high earner, not rich yet) generally flock together in affluent suburbs where their property taxes are pooled to fund really great school systems and where housing prices and housing policies basically redline the non-affluent out of the district.
The real benefit of this isn't the money per se, but the way it keeps out the problem children of the urban wasteland -- those whose parents don't participate in their kids' education or really provide any structure in their lives. These kids are the drag on urban school systems through discipline problems, the extra work required by teachers to get them back to any kind of baseline, special education needs, etc.
An average funded school district can educate children well if the kids have some kind of parent-engaged baseline to start with.