As for where Scholar should be hit, well. That's absolutely in the fairy. Rather than nerfing the fairy directly, they should buff Scholar's counterpart job.
Give Nocturnal Astrologian a heal-pulse equivalent to Lily's "Embrace"; constantly healing players who are missing health for free at no cost of MP,GCD, or Recast. (Perhaps Synastry could be remade into this function?)
Make Nocturnal Astrologian's "Collective Unconscious" ability the same cooldown as Whispering Dawn (60 seconds instead of 90) and larger - Sacred Soil's size would suffice.
Remove Astrologian's ability to extend the healing effect of "Wheel of Fortune."

The reason why I would instead buff Nocturnal Astrologian is because when they tried nerfing scholar at the beginning of Stormblood, many casual players had issues getting through dungeons, and some Scholars were even kicked from parties because they were believed to be unable to keep up with healing. While it wasn't true at the time, you must think of how the casual player-base would receive nerfs to a class that is initially difficult to execute well like Scholar.