Of course, obviously.
Red Mage History
The red mage is one of the oldest and more iconic jobs in FF history. Though it's iconic look today identifies it as itself, this wasn't always the case. The original red mage design, and its gameplay were more akin to the DnD Bard and its art, based on that of a wandering minstrel or adventurer. Only in more recent incarnations has the red mage been given the designator as a warlock or fencer. Even then, these titles didn't appear until late in the series.
FF5 is the first game where the role of the red mage was expanded upon (because simply casting low to mid level magic wasn't enough) and given more specialization. The Dual Cast ability made its first appearance here and has since become the iconic red mage ability where applicable. In the Final Fantasy Tactics Advance games, Dual Cast or Double Cast abilities were among some of the strongest abilities worth learning, and through these games red mages became somewhat synomous with fencing weapons. In FF11, the red mage was a core starting job that balanced everything in equal measure, but more or less excelled in debuffs and support magic. Though red mages here could also utilize spells that were once Mystic Knight or Spell Fencer abilities, this wasn't a major focus for the RDM. Obviously, the red mage in FF11 used a number of fencing weapons, but weren't excluded from many other swords or weapons.
Finally, as the FF series saw more sequels and the red mage began to appear in more games, the job started moving away from generalized role and moved into a more specialized role. This also meant that the job that once had the ability to wield some of same weapons and heavy armor as warriors, became more focused towards spellcasting and lighter and more specialized equipment. While the job may have once been considered a jack-of-all-trades and master-of-none, that's not really true of the modern interpretations. That also holds true for FF14's red mage. Beyond its iconic look, don't expect the job to come packing too much of its legacy, and instead look foward to what a modern FF14-style red mage could bring to its legacy. It may not be able to heal, but it certainly could bring new inspiration for the future of the job in later sequels.