I am largely in agreement with the idea some have posted that they should make healing and dpsing more tied together for healers, and in doing so, make healers have more moment-to-moment involvement in the game.

Probably the easiest example would be to make freecure tied to Glare instead of cure 1. But a more elaborate idea for white mage specifically(since I'm most familiar with white mage) would be:
Every time you deal damage, you accumulate a secondary gauge. This gauge empowers a second nuke skill they add(let's call it 'Blood Glare'. If the second nuke skill is used with more than 80% of the gauge full, it makes your next healing lily OGCD.

But I think this game does need something to help:
1) Make new healers realize dpsing is a part of their job.
2) Make the decision process on healers a bit more involved in terms of dps.
3) Add a bit more excitement to moment to moment gameplay for healers when things aren't going horribly wrong.