"Compared to the control group, depressed subjects were significantly more active from 7 PM to midnight and less active from 3 to 6 AM."
Imo sleep deprivation helps in kind of the same way that self harm does. It makes you focus on something else, rather than how miserable you are. All your energy goes to keeping you awake. I wouldn't recommend it as a long term solution.
> Maybe after a long stint of wakefulness, in the wee hours the depressed shift back to being non-depressed!
I can't answer for everyone, but this is not the case for me. I regularly fall asleep at like 03:00, and it has never helped me in any way.