We get Zoe early, but the main use comes late, and the CD and no charges is too long to use it freely. You have to pair it with specific things, which kind of blunts its flexibility and how it might feel.
Soteria feels...weak somehow. Not in the potency, but just in the use cases. Most of the time, I don't need more Tank healing, and when I do, I have Durochole or Taurochole.
Krasis is such a hot garbage ability. Because SGE doesn't spread shields, making a super strong shield on one person is rarely needed. Moreover - and this isn't just a Krasis issue with me, I feel the same about Protraction - we already have SO MUCH HEALING on Healers that it's kind of overkill to boost that even more. No matter the Healer, I can have a >100k HP tank from 1 HP to max within two GCDs. And abilities like Krasis don't help because they don't do that in 1 GCD (meaning I still have to use a second to get there). To put it another way, suppose I have heals that would do 50% health each. Two of those fully restores the target. But I can boost them by 20%. Okay, so the first one gets me 60% and the second 120%. The first didn't help if the target needs to be healed for more than 60% within a single GCD, and it doesn't help with the second because it just overheals when I could already fully heal the person within two GCDs anyway. There just isn't a huge need for "increases healing by X%" with our kits being so ridiculously powerful vs health pools at the moment anyway. And where there IS, it usually is because we need AOE healing, in which case Krasis' (and Protraction's) single target effect isn't very useful. If I need to keep someone alive who just got raised, say, I'm going to EuDiagnosis them along with slapping a Durochole or Taurochole on them so they survive the mechanic. Krasis just isn't that helpful. Protraction CAN get a pass entirely because of Deploy, but SGE doesn't have that functionality.
I disagree on EuPrognosis. In fact, I'd go the other way - make SGE lean more heavily into shields. SGE frankly does an ABSURD amount of healing for a "barrier" Healer with all the mitigation it has on top of that. SGE can debatably outheal WHM in some situations, which is ridiculous since that's WHM's entire thing. It doesn't need more raw healing. It's already better on the GCD front than SCH since it has a Medica 1 and SCH has to burn an Emergency Tactics to replicate something akin to that, and it costs them more MP to do so. They also have to devote a second hotbar slot to Physic if they want that for single target. SGE is already too much, not too little, on the raw healing front.
Toxicon should be damage neutral. That's all. At the very least, it should be close-ish, like Plegma.
Pepsis is nice, but niche. It allows extreme efficiency when used properly, but it can be difficult to do. With Pepsis, you can shield someone, let ALMOST all the shield be absorbed, then get a full heal as if the shield hadn't been. Contrast SCH's Emergency Tactics, which does not let you double dip on having your shield and eating your heal, too, to butcher the cake analogy.
Hamia, Panhamia, and Holos are EXTREMELY powerful abilities. They arguably should have longer CDs, not shorter ones... <_<
Rhizo's main change should honestly be to give one stack of both Addersgall and Addersting. That'd give SGE a semi-reliable way of generating Toxicons (especially if SE continues to insist that Toxicon shouldn't be damage neutral), and the Addersgall is honestly useful sometimes.
Icarus is amazing - and no other Healer has one. People keep demanding more for it, failing to realize that it's already miles better from having none at all.
SGE is honestly pretty strong. I'm with the other people that really want an AOE Kardia on a short CD. Like imagine Synastry, but it's for the whole party and for Kardia.
Wouldn't this be a bit TOO much healing from SGE passively? It might be okay, but they'd need to have their oGCD healing toned down to factor in what is effectively a free and 100% uptime Whispering Dawn.
I know people love movement, but SGE is already the absolute most mobile Healer by quite a large margin between Plegma (potentially x2), Toxicon (potentially x3), and Icarus. I don't think it'd be particularly fair to the other Healers for Icarus to get EVEN BETTER. You're asking to have your wax wings melt with such requests...