As someone with the creative urge, I always found the word hobby itself was quite patronizing, as though your identity were just what you get paid for. But with some thought, I would say our identity becomes what we are appreciated for. Whether that's as a parent, a musician, an artist, a writer, a hacker, a promoter, performer, or another thing we do long and well enough that it's what people come to appreiciate about us.
If you don't do the things you are appreciated for, you will absolutely become unwell, and if you want debilitating mental health problems, do a job where you aren't appreciated. It's like a recipe.