You'd be partially correct in saying that private schools alone dont have the influence to do this, its more so politicians who endorse these schools and own stake in these schools that are at the root of the issue. With the goal of moving taxpayer money into private monied interests, instead of public services. Its a tail as old as time in the US.
You are right, the problem isn't 100% on the schools or the politicians, it's probably both. And I agree that no public money should go to private schools, nor the press for that matter. At the end of the day power resides in the politicians, so they are the ones most at fault (+voters). A hard problem to fix when you have to vote for option A or option B
