The reason imbalance is undesirable is because it stifles variety. If one job feels significantly weaker than another, that job will be used less often at high levels of play.
Players feel like they have less viable options available for their preferred style of play if a job is underpowered. It's as if that job becomes delegitmized in a sense, reducing variety. When addressing balance, we should be asking ourselves, why imbalance is a negative thing to begin with. What harm does it cause, specifically? The suppression of variety is the answer I come up with. This is also why the current healer problem can't be fixed by looking at it solely as a balance issue.
When SE tries to restore balance by making all healers very similar, we start to see more and more complaints about healers feeling the same or not having an identity. It's because the core issue wasn't necessarily balance, it was variety. The problem was that imbalance was impacting variety and players felt as if they had fewer viable options. When we examine the 3 healers in FFXIV, you'll notice that all three have the same core set of healer GCDs. The AST/WHM similarity is especially notable. Even the basic healer spell animations between the Healers are very similar.
AST Essential Diginity looks just like SCH Lustrate to me. WHM Medica looks very similar to AST Helios or SCH Indomitability. Not only do you have a core healing set that feels the same, it also looks the same to boot. Generally, the biggest differences in spell effects between healers is in their DPS spells, albeit AST does bring some visual flavor when it comes to it's card and star based abilities.
I just hope that SE doesn't see this as merely a balance issue that can be fixed by adjusting some potencies, adding a few abilities or making the healers feel even more similar to balance them out. That would only exacerbate the current problem, imo.