
Enemies with THM / BLM skills are seen in the Vault in the form of priests and deacons, so I would assume that they see it much like the rest of Eorzea sees the same sort of magic, a.k.a. A Kind of Magic That Is Used, albeit by a select few (in Ul'dah this would be those that the rather restrictive Thaumaturges' Guild decides to let in, while in the case of Ishgard, it would be Halone's clergy).