You think a PhD automatically makes someone a better teacher than a school teacher? Shows quite an elitism that assumes knowledge and scholarly ability is the mark of a good teacher. From someone who actually taught in schools, scholarship matters almost zero, classroom management and emotional intelligence are far more important in a school teacher.
And giving away the money? You’d lose all amenities of a school, the building, its land, the social benefits of school interactions, etc. Most importantly, you lose classroom management of a teacher, and the kids lose out big time.
A PhD tutor stood in front of determinedly mischevious children, most couldn’t last two weeks.