One means to keep functioning while sleep deprived is to eat more. I don't think it's really poor impulse control per se. It's a coping mechanism, sort of like the body shunting waste gas through the kidneys at high altitude because you can't offload them all via breathing out and they have to go somewhere, but that's not really the optimal way to do that and it has knock on effects because urinating to remove them also drags salt and other stuff with it, thus the need to drink more and get more electrolytes at altitude. (Edit: implicitly, weight gain us the equivalent knock on effect for eating more while sleep deprived.)

it's because sleep regulates the hormones that control your appetite

if you mean poor control of your body's natural drive to eat which is imperative to our survival, then sure

very few people can consistently control this "impulse" -- the best way to control it is to get adequate sleep and regulate your hormones

That and you may be having an extra meal whereas you otherwise would have been asleep.

There is that and there is the “enforced fasting interval” that sleep is.

The first meal after sleeping through the night is called "break-fast", after all.

The sleep deprived body directs calories to fat storage.