"Lore" tends to carry a broader connotation, so that's what I'd go with. But, on the other hand, lore as a "history of magecraft and mysteries" could also potentially be covered by the Faculty of Archaeology along with ancient artifacts. Ultimately, it comes down to what each of these faculties do, which hasn't been clearly defined for most of them. It all depends on context that we don't have yet, so we'll probably have to wait and make predictions for now.