With the changes to the fairy coming in Shadowbringers, I think it's about time they just remove it. Reasons why:

#1. Pet no longer has HP or is targetable

The fairy is no longer a targetable, has any HP, or an aggro table. The SCH cannot use it for deployment tactics, or as add peal in FATEs / Eureka. It acts more like a minion at this point.

#2. Embrace

Embrace is now insta-cast and is no longer a button that can be used to individually target players. The result is less control but more mobility. Adding a trait to SCH that heals anyone within 25 yalms every 3 seconds with 0 aggro would do the exact same thing: an uncontrollable passive heal.

#3. Pet Skills on SCH oGCD

The nail in the coffin, pet skills are now oGCD skills for the SCH. No longer can you use Whispering Dawn while you are casting Broil or Adlo, you now have to use it at the same time you would hit Lustrate or Excog; while not casting. If they are going to act just like our oGCDs, then make them our oGCDs, not a more annoying version.

These are my thoughts. Make Embrace a trait, move all oGCD skills to the SCH. Dissipation and the new Super Fairy? Combine them into one ability. 2-3 minute cooldown where you gain 3 aetherflow and unlock new abilities for 20-30 seconds, kind of similar to how Dreadwyrm Trance was in Heavensward. We can keep the gauge, just rename it something like "static aether: aether that is left over from our aetherflow abilities that is gathered by the SCH". It would still allow the use of Fey Union but prevent the previous fairy oGCDs from working.

They are already killing off Selene in Shadowbringers, just take her sister too.