I started a Healer because I was bored with BLM. But I didn't get very far even though it seemed fun (grind is real).
Then when I finished leveling NIN (my new main), I started to really look at Healing.
I'm level 46 SCH but plan on leveling all the Healers to 60 shortly. The reason for this is that IF I have to do a Duty, I'd rather do the healing myself because I'm sick and tired of bad healers.

Healer has arguably the highest skill cap which has the highest potential to affect a Dungeon/Raid run. And the skill floor is so ridiculously low it also disproportionately affects the Dungeon/Raid run when they do the bare minimum as compared to other classes.

What I love about Healers is the pure DPS potential, as well as the hecticness of it in a hard fight (how long can I be in Cleric Stance before someone dies? do I have to time to rez the guy who stepped in the poop? more DOTS!). It's like being a BLM but with more to manage. It's rewarding when you do it right, regardless of whether people recognize it or not.