A simple example: If all your hobbies (tennis, painting, and guitar) rely on the use of your right hand, you'll be much unhappier when your right hand is injured, than if your hobbies were better compartmentalized (singing, painting, and running).
But that's the opposite of compartmentalizing. Compartmentalizing implies that each is kept separate and doesn't influence the other. What you describe is someone taking all of their hobbies as a whole into account and figuring out how to strike the best overall balance.
Going by that interpretation, I can never compartmentalize. Everytime I setup a bunch of different compartments, you will accuse me of looking at the whole and not really comppartmentalizing.
All I'm saying is that you can't isolate the parts of your lives from one another because you, as a person, are always the common denominator. If some part of your life has an impact on you (physically, emotionally, whatever) that impact is going to be carried with you into all the other parts of your life.
Are you saying that's a tautology or an absurd claim?
Alternatively, you may be better at those hobbies if you specialize as such. If I have a penchant for being dexterous with my right hand, I will probably enjoy hobbies where I can exploit that to its fullest.
Yes you can, and you very much should.
A simple example: If all your hobbies (tennis, painting, and guitar) rely on the use of your right hand, you'll be much unhappier when your right hand is injured, than if your hobbies were better compartmentalized (singing, painting, and running).