> You can't just turn around and start working on some new idea if you are out on a path somewhere.

Eh? I'm retired now so I don't need to work but when I did I often went for a walk when a problem seemed insoluble. After a while I might feel that I have the solution to that and I'd start working on another problem as I continued my walk. You don't need to be in front of a screen with your fingers on a keyboard to do some work.