I've been with a number of people as they came out of anesthesia and they were "awake" and talking before they were really conscious of it. Same experience with my own surgeries; I have no recollection of eating a popsicle but apparently I did and tried to share it with the whole nursing staff.
I think your friend is full of shit.
Oh no, what has Tina Fey done? I'm trying to think back on 30 Rock and I can imagine how some of it hasn't aged well.