When I'm very sleep-deprived, I tend to be better able to focus on the present, and not worry about ambient anxiety-causing topics. My mind has less resources to wander as much as usual. Between that anecdotal experience, and previous stories about sleep deprivation as a treatment for depression, I wonder if there's something to be set about forcing your mind into a single-threaded mode, to avoid the usual distractin…
Makes me wonder if there's a methodology of using full energy for creativity, and lower energy for times when more discipline would usually be required. Of course then there is the discipline needed to not fall into distraction traps then. I've experienced sleep deprived productivity before, but I have found it is hit and miss too.
My best creativity is when riding my bike in a relaxing place, in the shower, or what I call the half-sleep trance just before falling asleep.