I think the topic of "What qualifies as a healer" and "what healer designs are healthy for the game as a whole" are two different conversations that we're mixing up. Having healthy job design is incredibly important, and I'm not discounting that. I forget where they posted this, but Roe referenced somewhere how concerned they would be if SE added Alisaie's Vercure III, and AoE heal, to Red Mage, stressing that even with Red Mage being forced to drop GCD attacks, the shear damage output offered by Red Mage would threaten the healer role considerably. I agree, because if that was the case, and Red Mage could adequately sustain the party with Vercure III, that would change Red Mage from a DPS support to a DPS/Support/Healer hybrid. I would then unironically describe Red Mage as a healer because it would be one. That's not to say that's healthy for the balance of FFXIV, but whether or not it's a good idea, that would still make Red Mage into a fully fledged healer.
My point is just that refusing to call it a healer because it has too many attacks is silly and wouldn't change the fact that Red Mage would be able to be the party healer.
And going back to my list of wants for a job, What I want is to have competitive healing throughput, have no more than 30% of total action usage dedicated to any singular action, and spending roughly 80% of their total casts on at least 10-12 actions. Whatever that looks like, I don't want that to deal DPS levels of damage, or even tank levels of damage. I'd want it to be balanced with the other healers in terms of output, either by dealing roughly the same amount of damage, or if it does offer a modestly higher DPS output range, that that comes at the cost of utility that the other healers have access too, and I don't need those actions to be DPS actions anyway. As long as they are always optimal to use in the way they're meant to be used regardless of whether I'm soloing the MSQ or progging savage, I don't care that much about what the actions actually do. I have preferences, but at this point I'll take what I can get.