How does sleep deprivation affect emotional regulation?
Substantially, and faster than most people expect. Studies restricting sleep show increased reactivity in threat-processing regions and weaker regulatory control from the prefrontal cortex, which translates practically into a shorter fuse, more negative interpretation of neutral events, and less capacity to put things in perspective. Even a single poor night measurably increases next-day anxiety. This matters because emotional difficulty and poor sleep form a loop, and sleep is often the more tractable end. If someone is struggling and also sleeping four hours, addressing sleep first is rarely wasted effort.
Answers
Addressing sleep first because it is more tractable is a sensible order of operations.
More negative interpretation of neutral events explains so many arguments I have had while tired.