Cure III is more useful now, but Overcure isn't

After trying some of the new end game contents, I manage to find some situations where Cure III is the best spell to use, examples are:
Ultima - when eating the orbs
Titan EM - Mountain Buster and phase change
Coil Turn 5 - Fireball

However, in none of the cases above, I can't see the current Overcure to have any use.

Take Freecure as an example, when I spam Cure, and Freecure pop up, there is no reason NOT to use it, even if you need to avoid over-heal, you can just wait the tank's HP to drop a bit more.

Now back to Overcure, when I spam Cure II, and Overcure pop up, really there is no reason to DO use it. It's still have less potency than Cure II, it's only cost ~10 less MP than Cure II, and when I spam Cure II usually the tank is the only one that take damage.
Then, when I really need to use it, like those situations in the beginning of the post, I never have the Overcure because I don't need to spam Cure II beforehand.

So what I'll suggest, is in addition to the MP cut, also give Cure III a HoT effect, with a duration of 15 second and potency of 50.
This way it's not really overpower (especially with the Medica II ner...change), and when I spam Cure II and Overcure pops, there is a good reason to use it. The name makes more sense as well, as now it's more like a 'Halfcure'.

Any other thoughts?

I agree that Over-cure is not used and very often goes to waste.
When i am using cure 2 I will generally not be aoe healing straight after or the party is not grouped up. Using cure 2 to proc over cure is counter intuitive since using cure 2 too much will waste your mana.

They could make over-cure a permanent buff. They could tie cure 3 proc to something else. They could perhaps make a chance for cure 3 itself to halve its mana cost?They could tie over-cure to cure so it could proc both free-cure and over-cure. They could do many things really. They could even just reduce cure 3 base mana cost and bring back old cure 3.

When overcure procs, it is acceptably mp efficient if it hits at least two targets rather than casting two or more cure II. It's handy at times, but most times, I've found that overcure is very rarely going to be a clutch proc, and typically whether it procs or not has almost no bearing on whether or not I cast cure III.

3 suggestions for altering overcure proc

1) Next cure III recovers X amount of MP per target hit
2) Proc lasts 15 seconds and reduces enmity generation for healing by 50% for duration of buff
3) Proc lasts 10 seconds and reduces cure II MP cost by 25% for duration of buff

These numbers aren't balanced, but consider them fillers for the ideas

I just consider it a bonus if it's up when I happen to be using Cure III. I don't feel compelled to use Cure III just because Overcure procs.

On another note, why does Freecure still generate aggro? It should be completely free of mana and aggro gain. Not exactly a pressing issue, it's just something that's always had me looking cockeyed at the trait.