We have different economic & market tools. We should use the right tool for the problem.
Some markets are best served with a free market system, others with a single payer system, others with a monopoly.
There are studies (no reference) which indicate that every euro spent by government on education has a 10 times return on investment: better educated people, have better jobs, pay more taxes, create more companies, create more jobs, attract more companies, have less health issues, etc.
Making people pay for their own education, and thereby limiting the education level of the population of a country, a country is doing itself a disservice.