I want to make things clear: The Rebbe was one of (if not the) the most biggest and chashuvah tzaddikim in his generation. You are just too IGNORANT and don’t know half a page of tanya so you listen to anything some greasy bachurim hock to you about in your coffee room in your yeshiva. If you would just become a bit more knowledgable, look a little more for the truth, you’ll find out how ignorant you have been.
The Rebbe on Sukkos cat-napped. Meaning, he didn’t GO to sleep. He may have ended up falling asleep for a short while, less than 20 minutes, which according to halachah is considered a nap. And have you every heard of Yaakov Avinu? He learned in Yeshivas Shem V’ever for 20 years, and he ‘didn’t sleep’. Say your same ta’ane to Yaakov Avinu, and say that Chazal lies Chas V’shalom! Yaakov Avinu didn’t go to sleep, but he slept small naps.
I suggest you learn more about the Rebbe and his tzidkus and gadlus from authentic sources and then talk. You know for a fact that you are just ignorant.
edited, although not quite as much as it should have been…