No. They should just call it a "Blue Mage" and develop their lore for it however they deem fit. No reason to have to rename and present it as anything else just because Bravely Default had an affinity of renaming almost half of their classic Final Fantasy jobs.
I'd almost say they more or less tried to go this route in FFXIV 1.0 and when the fans weren't feeling the "classes" they introduced iconic classic named jobs to save the day with familiarity. I don't foresee them straying from implementing more classic named jobs- with the exception of the "FFXIV-unique job" Yoshi mused about once.
