I wonder if this is one of those areas where a Holland-esque study might conclude that the fact of Christianity influenced a shift in the way things are done. Like turning cultural mythmaking into hagiography.
The Iliad is ambivalent at best toward the Greeks. They are wanton and sacrilegious. The Odyssey says it's a bit more tangled than that, but not much. It's fascinating that the historical Greeks maintained a mythic tradition like that about themselves.