I can see why there are not as many healer sorts in RP, especially given how much less likely it is for people to quibble over the efficacy of a fireball vs. a cure spell.  Magical healing is magical after all, and, say, only letting a Cure spell shave a week off of a months long recovery for a wound purely for the sake of machismo does a disservice to the healers.
Now, with regards to "but healing magic kills off my ability to have drama", we do have instances in game where characters with immediate access to instant magical healing still suffer lasting and dramatic consequences (in spoilers at the end). So obviously, curative magic, no matter how magical and miraculous, does still have limits - loss of limbs, neurological damage, excessive trauma - but by the same token, fixing cuts and puncture wounds should be fairly negligible.
Now, with regards to "but healing magic kills off my ability to have drama", we do have instances in game where characters with immediate access to instant magical healing still suffer lasting and dramatic consequences (in spoilers at the end). So obviously, curative magic, no matter how magical and miraculous, does still have limits - loss of limbs, neurological damage, excessive trauma - but by the same token, fixing cuts and puncture wounds should be fairly negligible.