In a sense SCH already does this, actually!
Looking at the Japanese name makes it a little more easy to understand, as does looking at archaic uses of English's embroil/chasten.
Broil = 気炎法 Spirit Flame Method/Arts as a direct translation, but can be read as "Talk Big" AKA a "heated" argument. Basically the English definition of broil when meaning to infuriate or embroil somebody.
Broil 2 = 魔炎法 Demon Flame Method/Arts. In the same vein of Talk Big can also refer to someone habitually repeating something negative, or more like chastising, maybe even bullying.
Broil 3 = 死炎法 Death Flame Method/Arts. In the same vein of Talk Big could be related to decapitation or more like "biting ones head off" or other similar phrases.
Even Ruin can be looked at in this way - in a literal sense using words to ruin someone.
So the progression of spells would look like [Ruining someone > embroiling them > chasten them > rip them a new one] but all via speech.
As is true for SCH, many of the Japanese skill names accurately depict them as a war specialist with various plans and stratagems. Part of that would be choosing one's words to belittle an enemy or lower their morale, very much like Orator in FFT, which helps to explain why they got their gear named after them in SB.
Being able to do this through song would therefor be absolutely feasible! Heck just look at the Siren boss in the lighthouse... her voice raises the dead :p
Don't forget about FFV & TA2! In FFV, their Animals command had them call on bees, birds, boars, rodents and even unicorns for party support, debuffing and damage, while in FFTA2 they instead gained traps for debuffing and damage; both of these added to their overall identity of being forest dwellers/maintaining the order of animals (culling the dangerous/overpopulated, guarding the endangered etc.) - something even the RNG story line in FFXI touched upon. I believe even the original ARC storyline has a nod to this with an anti-poaching element (but I haven't done those quests in a long time so I may be wrong). There really is a lot to that theme available for use in XIV, it's a shame to have it go to waste in the same way that BRD is missing out on so much of its own musical identity. Funnily enough now my brain is thinking of Snow White as a BRD RNG hybrid... lol.
