I am torn on this. For some folks, this will be a wonderful persistent reminder of the deceased and a place to leave memorial messages. For other folks, it could become an awkward persistent reminder that just makes it hard to grieve and move on.
And, though I have met quite a few people who have lost friends and family members, I don't recall anyone whose response to losing a loved one was to destroy all the mementoes. One is far more likely to cherish them.