There are varying levels of memory, just as there are varying levels of lucidity. I have had LDs in which I could not remember where I was sleeping, or even some in which I tried to remember what I did in waking life yesterday and thought “Oh yeah! It was such-and-such”, only to wake up and realize I was completely wrong! On the other side of the spectrum, I've had LDs where I remembered both where I was sleeping and what I was thinking about just before falling asleep, or remembered many of my LD goals and had to stop and decide which one to actually do this time, and a recent one where I saw a car dealership sign in the dream and immediately recognized, during the dream, that the reason it appeared here was because I had seen it in a home video I checked briefly the previous day.