Something that just occurred to me: if you're right about Zeze killing Grampa P? That MIGHT fit Grampa P's recursion: Because the person playing the Argos role is supposed to get killed by someone playing the Hermes role, right?
If you go back into some paleomyhtology, it's thought that both Hermes and Pan have their origin in a Proto-Indo-European god Pehusan, who is theorized to have been a god of pastures, roads, journeys, boundaries, the wilderness, and herding. At some point between the Linear A and B periods and the beginning of classical greek antiquity, the version of this god they had in Greece got split, with some of the myths and godly responsibilities:--Roads, Journeys, Boundaries, being a Psychopomp--going to Hermes, and some--Herds, Pastures, being a Goatman, the Wilderness (and what's another word for wilderness? Hinterlands) going to Pan.
The other thing about Pan is that "Pan" is the Greek word for "everything" or just "every-" if it's used as a prefix.
So if we've got a guy who is a goat mythical, who lives in the Wilderness where there's not much but people in pastures raising herd animals, and his name is the same name as EVERYone else? That seems like a REALLY good candidate if Recursion needs someone to do a Hermes job real quick.