Is there a good reason to collect all the treasure chests?

I just completed Assassin's Creed 2 and so I'm looking at tying up loose ends (ie - finishing trophies/achievements). However, I'm surprised to find that there are no trophies for getting 100% of the treasure chests, and yet the game actually tracks how many you have gotten (under your DNA). Is there a good reason for taking the time to get them all?

If you go to DNA sequences in the Animus menu it will say that memory is complete. (Like you mentioned.) Other than that, there are no rewards, not even an achievement.

If you want to tidy up though, it might give you a sense of accomplishment to get 'em all.