A mechanic can enjoy working on his own project car in the off time.
Both of these things are productive in a way that playing games isn't, but they're still recreational. It's not spending your life chasing dimes. It's looking at the different recreational things you could be doing, and choosing the ones that also intersect with being productive and have a side-effect of helping you professionally.
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.
I disagree. I have fond memories of discussing Zelda on the playground as a kid. Similarly, online communities are formed around basically every notable single player game. It's still a shared experience, even if it's not shared at the same moment.
If you want to be a workaholic and spend your free time working, go right ahead.
But you will end up like my father, mid 70s with no real relationships with your family, obsessed with "completing your legacy" and a general inability to enjoy anything that isn't "work".
If that sound like fun to you, go right ahead.
Me, I'll continue to work at work and spend my free time on relaxation.
You only get one life, spending it chasing dollars and dimes is a poor life plan