Honestly, I don't even know where to start here. Generally you've been giving some arguments. That I mostly disagreed with them is another matter. But here?!
Who on earth ever told you that the fact you have HP means you need to kill stuff?! And there are many examples of people NOT WANTING to kill their enemies. The fact that the warrior of light kills everything and everyone on their way is ABNORMAL and completely RIDICULOUS. Only a true and blue idiot would kill the guy/gal that would be better off interrogated. And even then, I'm pretty sure that there are examples of NPC's not dying when their HP goes to zero. I can think of two off the top of my head simply from Kojin quests, then there's one or two in Amalja. There are even cases in story (for paladin, for example, where you fight that Elezen and that Roe at lvl60, but also in main story). Heck, Fordola is a recent major example...
The only reason why the game is all about killing is because it's MADE like that. There is zero reason, story-wise or anything, to not take advantage of that.
And that fixes it, as healing would have a direct effect on damage, hence the timing of the healing matters as well, as well as the total amount of HP, instead of "heal when it's near-death".
If a healer overheals then they are the ones at fault. Casting a heal when the tank have only 2%-3% penalty is pointless, when a single Stone would do more. However, standard heals (which are CHEAPER than currently-used big heals) would be used more often and players would start being more efficient with healing. Ultimately, you still need to heal the same amount of HP, just timed differently and in smaller chunks.
How is that relevant if the healer would try to keep everyone at/near full at all times...Even now if people die healers can run out of mana...but now they provoke such situations by not topping people.