Games and play -- of the "unproductive" kind -- are a fundamental and valuable human activity. Not everything has to produce something beyond mental well-being. Plus, of course, children learn by playing.
Nobody said your hobbies must be productive. But some people prefer it to be, and I don't think it's right to shame those people as if they're just chasing dimes or denying part of what it is to be human.
Productive is all relative anyway. Children learning by playing is productive, the productive part is the learning that is a byproduct. Working on a project car is fun in itself. It doesn't become less fun if the person doing it is a professional mechanic. Would you tell a person who plays games professionally in an e-sports league that they must do something else for fun?
I think it is a sign of good life when you find a way to get paid for doing what you enjoy. And if you enjoy it, then it is still fun when you do it outside of work. The productive benefits of it do not make it less fun.
