Archetypes are interesting to ponder from an ancient Greek framework. Are they ideal forms? Are they prolepseis/pre-conceptions/anticipations?
If they're the former, we're being sucked into Plato’s world. The latter might find a place in an Epicurean worldview but I don't have a cohesive opinion on the matter. I spent a couple weeks reading about them at one point and by the end of my reading I thought that they weren't as compelling as I had anticipated they might have been. But there’s lots to dig into, and analyzing them with respect to pre-conceptions could be fruitful, particularly since pre-conceptions seem to be intertwined with the understanding of Epicurean gods.
The attached paper seems pretty pertinent, so much so that I almost posted it when I first read it. So much to discuss, so little time!
(Living with the Gods: On Beliefs and Peoples by Neil MacGregor is a book that I'd heartily recommend to anyone interested in an art historical take on gods, although I don't think that it deals with archetypes. It's a hefty book, but an enjoyable read.)