You’re perfectly right. I was certainly not very well awake yesterday cause I can’t understand how I forgot some impressive ND FA’s I have had… and which are even very briefly related in the second post of my old dream diary!
They didn’t happen exactly how you describe it cause I didn’t remember a previous dream: I just believed I was awoken by my girlfriend moving in the bed… and when opening my eyes, there was someone else standing in the bedroom. It was surprising enough to make me wake up for true. These FA’s were a bit special, they looked almost like a LD cause my consciousness was very clear (with the big difference though that I didn’t know I was dreaming).
This happened before I knew anything about LD’ing, so it can’t be related to practicing it.
And there are also some more “normal” sorts of FA’s when, after being awaken by your alarm, you fall asleep again and believe you put on your clothes to go to work. This may happen to everybody who doesn’t practice LD’ing.
Now, about the classical FA which consists in writing down his dream (thus is obviously related to the remembering dreams practice), I can’t remember if it may happen after something else than a LD…
But if you consider the impressive amount of FA’s that you can find in LD’ers DJ’s, it is far more important than these ND FA’s, IMO.