Well, yes, that is what is happening, you are listening to it how people heard it, the mistakes you made or things that weren't quite right were not that significant to the whole, but they were to you because they were entirely what you were concentrating on at the time.
Although I don't suffer from performance anxiety really, I do always have a difficulty when people come up afterwards and say 'you were fantastic' - maybe part of that is my upbringing, that is someone compliments you or says something nice, you automatically assume it is sarcastic, and partly because I know it wasn't and all the mistakes and problems, but maybe in this case I am wrong, maybe the fact that it was fantastic to them is far more important to the fact that it wasn't fantastic to me.