Yes, and... In states where property taxes fund schools, there are basically two ways to pay for a good school: a) go to a private school, b) live in a school zone with high real estate values. At various points my wife and I calculated that 8 years at ~25k/yr tuition would work out to about the same as the ~200k house price delta we'd have to pay to move to a better school zone.
And I suppose option #3 is rationing, which is how some schools do it (our daughter is in a gifted academy where admission is limited via lottery.)