The Bard name gave me a warm fuzzy feeling immediately transporting me back to my youth playing (or at least trying to play) Bard's Tale. The name evoked adventure, excitement and a good dose of dread. And, the idea of it being "role playing" struck me as a master meta stroke.

Gemini, from the mythological standpoint, seemed to make more sense to me from an overall business/marketing standpoint. "This AI thing right here is your twin, see? It'll finish your sentences and stuff."