When I was doing a lot of research on picasso triggers before I bought one there was a user on here that told me of his experiences with his. He said that the picasso recognized him and that when the freezer was opened and a certain container was brought out it meant food. He tried a few experiments where he would watch the fish and go the the refrigerator-no response. Go to the freezer-excietment. Use the normal feed dish-excitement. Use a new feed dish-no response. He also said that the fish wouldn't approach other people the same way it would himself. For example, he had his brother try and get the fish to come to the glass and it wouldn't because, presumably, it knew it wasn't it's owner (i.e. it recognized the difference).
Anyway what I'm getting at is if this fish was able to tell the difference between these types of fairly abstract things why wouldn't it be able to recognize it's tank mates even if separated?
Just my .02! Thought that was pretty interesting and this is a topic I've wondered about many times.