Only ever had one bad one but it was exactly as how you described, the only difference being that when I came round, the paramedics had wrapped me in a hypothermia blanket because I was shivering so hard. It felt like my brain had recovered before my body as I seemed to be able to think fairly straight but unable to communicate any of my thoughts. Even now, when I have relatively mild hypos, I always have a period of hot, drenching sweats followed by the freezing cold shivers.Unfortunately I have more of these than I would care to remember. Generally you just come around feeling awful with either paramedics standing around the bed or a very worried partner. Often you will have a foul taste in your mouth from someone trying to get you to eat things and the bed clothes will be soaked n sweat. I often go into a state of shock after them as well where I will begin to shiver and go stone cold.
The worst things about these for me though are the fact that I will occasionally have some semi lucid moments where I may wake up but am unable to comprehend or rationalise what is happening. They are very hard to accurately describe but it is like having extremely brief hallucinations which are terrifying because you know that something is badly wrong but are utterly unable to understand what the problem or solution is. They are not hallucinations in the way that you see things that aren't there but more like a series of sounds or noises that just come and go. Very disturbing.
Hopefully you won't ever have one but unfortunately there aren't many type 1's that escape them.