I understand your enthusiasm, Pellinore. There is something spiritual about that design, revolving around two dots in forms that seem purely geometrical, until you realise that they are based on natural forms. Once you see the natural forms, the geometry recedes irrevocably.
I find your description of a god and an allegorical animal quite apt. This is not Apollo and a charging bull, even less a Hellenistic central Asian ruler with a Mitresh cult object or a horseman and Nandi from South India and yet, the connection is there. Could it be that the common central idea is something like "honour the god(s)/ruler"? There is a significant body of opinion that the potins were sacrifice tokens, not money in the later sense of the word. Something like "give the priest a chicken, receive a few tokens for sacrifice."
Peter