As someone who was bored 90% of the time as a kid and who's still bored quite often, I really believe that it would be better not to be.
I was just thinking about it last night: I went for a run, which is a little unusual for me, and I was similarly "time free" as most nights but a lot less bored. I felt my ideas/internal state was more interesting/entertaining, perhaps due to changes in my neurotransmitters caused by exercise.