If you place Eukrasia in an inconvenient spot you'll definitely find some button engagement.
My opinion on sage despite being the only healer I play anymore is strictly speaking the heals are probably the least engaging out of all 4 healers. Because they're all fire & forget, and that's why I play it.
While I do enjoy Krasis and find it to be the second best 86 skill I wouldn't miss it particularly like how I miss Synastry or Neutral sect.
Each individual healing class essentially is an exact carbon copy with the distinction now being if they're regen or shield.
They each have a skill that functions the same if not better than their counterpart that accomplishes the same goal.
You can very easily once you've capped/gotten all 4 healers to 80 put skills on different jobs on the same button and accomplish the same goal just slightly different depending on if you're regen or shield.
A major distinction for heal engagement between all 4 classes though is that SGE is the only class that doesn't have a two part heal in their kit. Everything is fire and forget.
WHM got their additional very recently in the form of the lily change that allows them to blow their lilies early.
AST has always had the ability to pop star and horoscope and with EW they added macrocosmos to this addition.
SCH has seraph and I suppose since deployment tactics exist we can give SGE a pity point by saying pepsis is a thing.
With all that said and done SGE is the only healer that doesn't have an opener. It's amazing that it could get any smaller but SE did it, all you have to do is pop phlegma once all the raid buffs are up.
All in all I play SGE because I still want to play healer & it's the easiest job in the game, even easier than WHM. I like the skills, I don't find them engaging but they get the job done and they're convenient.
Icarus is pretty cool though wanted that on my WHM forever my friends said it would never come.