Healers that don't want to DPS are like DPSes who refuse to move out of AoEs.

[Taika]

Because people always take it to the next level and start demanding that you always dps when not healing.

And what's the issue with that? As a healer, when no one is in any danger (and you should know it as all fights are scripted), what else is there to do but DPS? It's a choice of 1) DPS, 2) do nothing at all, or 3) do something useless (overheal or spam Stoneskin over and over or something). There is only one correct choice here (unless you're in a very specific situation in which the best thing you can do for your group is to do nothing or do unnecessary overhealing, which can happen, but is rare).

And as I've said before, you get new players that adopt that mentality from the get-go and start turd-flinging without a clue.

This is a slippery slope argument, and also a strawman. No one is advocating healer play that puts DPS before keeping your party members safe. The argument is, 1) when you know your party members are safe and don't need healing, do DPS, and 2) required healing in majority of the fights is so low that there is almost always room for healer DPS.

I've played DPS, tank and heals in raids, and heal dps is never an issue if you just want to clear/progress through instance.

Are you claiming that it's been possible in this game to complete Alexander Savage raids without any healer DPS when they've been released? Because I'd like to see a group like that for sure.

There is no alternative to play if you don't like DPS. Healer is the only job that fits that role. If you don't like pets and want to DPS, there are other options available to you.

Unfortunately, since every single job in this game is very DPS focused, if you don't like to DPS, this game probably isn't for you. There also isn't room for alternative play styles for any job in this game, since the design is so straightforward and there's only one effective way to play each job. You can't really play a pure support BRD or pure healing healer and be an effective party member even if you wanted to. You can ask for changes in game design, but there's no point in asking changes for "play styles", when current design doesn't allow for any.