Yes, education benefits as it should. This is one area that is useful to the entire country, not a selected few. Education teaches people to fish for themselves, to contribute to society, and to help carry the load.
Which “truly private ones” don’t get grants and subsidies?
No, federal money should not run education—but supporting education is a worthy use of tax dollars.
Perhaps all subsidies should be eliminated. Are you on board?
How about those degrees in "grievance studies"? About the only thing they seem to teach you is that all your problems are somebody else's fault, and you're entitled to reparations.