Looking at his complexion I would certainly say he has a possible drink problem and that gives a clue as to his identity. I am certainly no picture of beauty, but my skin has improved massively since I stopped drinking. I used to have psoriasis and that has completely gone as well. I put it down to the fact alcohol dehydrates you to such a great extent.
Poor Dionysos has also lost his left hand. The label beneath him alluded to the fact he was originally thought to be holding a goblet. This has to be a fairly drastic way to stop drinking, it surely has to be far less painful to get hold of a copy of my book!