You do realise that regardless of whether you pay tuition, public education taxes were still collected on the assumption your children would possibly go to public schools. Your taxes alone do not fund your SS. Your taxes alone do not fund the things you would have benefited or do benefit from in America.
That's why they're paid for with taxes. So you don't pay as much.
But I guess literal taxation theory 101, the fucking bare basics of tax theory, literally the simplest of the simplest concepts in economics was too difficult to conceptualise for you that you needed it stated plainly.