Nothing wrong with that, I have that compulsion as well.
Having a compulsion to play, purely for the sake of playing is a much healthier view. Useful, not useful, hard problem, easy problem, should not matter, you're playing.
Sometimes you can't be useful, yet you can always play.
All stems from inability to have systems without labor. Work, work.
I like how Pope John Paul II flipped the narrative and said work exist for the person, as a way for person to express itself. Made me realize how even communism stays trapped in labor mentality.