That turns out to be un-settled science. No human has ever died from lack of sleep.
People point to “fatal familial insomnia” as a counterexample. But they die to the disease, not the lack of sleep.
In a series of controlled experiments, rats and fruit flies did die from lack of sleep. But no one has yet proven that it holds true for vertebrates except for rats.
In other words, it could be true that “among vertebrates, only rats die of sleep deprivation.”
So “if an animal can’t sleep, it will eventually die” is actually quite hard to prove, and depending on how you look at it, somewhat easy to disprove by the fact that rats and fruit flies were so difficult to kill from sleep depravation alone.
Personally I’m skeptical of the rat study too. Claude amends this:
> What they did not establish: the mechanism. On autopsy, “no anatomical cause of death was identified.” The rats showed weight loss despite eating more, body temperature problems, and skin lesions, but nothing that pointed to a clean cause. So no, they could not say a rat “died from sleep deprivation alone” in the sense of identifying what sleep loss did to the body to kill it. They showed a strong association under tight controls, not a proven causal pathway.