For me at least, recall is much much better in a lucid dream, compared to a non lucid. How vivid the dream is matters as SAFLINT said, but also the emotional impact of the dream, for example I remember my first self induced in near perfect detail, but I have no idea what happened my second LD because I didn't think I needed to put in my DJ (that was a mistake). Also, when I discovered I could use a new aspect of dream control, I remember those moments.