_With_ publicly funded education, however, everything boils down to what some small group of unelected bureaucrats decide. That is arguably much worse.
It's also worth noting that most countries with totally free higher education emphatically do NOT allow just anyone to go study any major they like at taxpayer expense. Subjects that have few jobs waiting at the other end are strictly gated by intensely difficult entrance exams designed to weed out all but a small number of students, so that nobody wastes their time getting a degree in a topic where it is unlikely they can ever find employment.