No, not necessarily. There is a huge legal difference between creating something for commercial gain vs creating it on a voluntary basis. When someone has monetized something, they are pulling in an income from which they can pay people.
When someone is doing something on a volunteer or amateur basis, they are not pulling in a similar income. We do stuff like this with our tax system all the time.
We can also draw a line between formal and informal instruction, all "learning" does not have to be the same, after all. There's no reason formal artistic training cannot be required to pay an additional fee where self-study does not. We actually already do this with more technical fields, it's even become a racket--college textbooks. Why do artists get to be exempt?
edit for spelling