Sure, but market signalling in a profession which takes years of education and training can lead to the same issues.
And this article shows that market signalling is largely not working in this case (because people do not approach education on a rational market basis).
Definitely, but private colleges exist, so you can always learn it on your own dime. It's just the government tuition free systems that have that restriction. Similar thing here in Australia.
There are dangers with trying to predict demand for individual goods and services for larger countries/markets.