I largely agree with the argument out of doing it for assimilation and soft power reasons, however -- In general, poor people don't pay private schools the ful

I largely agree with the argument out of doing it for assimilation and soft power reasons, however -- In general, poor people don't pay private schools the full amount, and private schools even set their budgets such that they expect to be subsidizing X% of the students at the bottom from Y% at the top, adjusting their tuition up and then discounting it for some or even most students. You can't directly charge rich people more, but it turns out they'll look the other way if you charge everyone else less because they're poor.