I’m getting “Close cousin of Michael Rappaport”. I’m not getting “Outside of actual human facial possibility”. He’s got the same kind of “bowl of lumpy peeled potatoes”-face
Roman emperors weren’t actually gods, and they mostly would have looked like everyday idiots.

The interpretation is probably no more accurate than a rough police sketch, but the thing the other sculptures and coin faces also agree on is that he was basically a long nosed, flat faced jamoke like this.
