This bug has remained hidden for quite some time, since this game has come out. Yet nobody has resolved this issue, or have come across this issue and have thought nothing about it.
Except, in my deepest hopes that some players read this and can test it out and confirm, that there is one thing wrong with Eos/Selene. Normally, the pets have certain stances they can be sent in to do certain things, like a summoner, Steady will have him not attack, and just follow you until you tell him to attack. If you set him in guard, the pet, as a summoner, will guard you and use abilities (or not, depending on Sic or Obey) to protect you.

However, when a scholar sets his pet to guard, the pet will randomly heal anybody that falls somewhere between the 60% range of health. If the Scholar sets his pet to steady, however,The pet will do the exact same thing. It will heal anyone that falls under 60%, no matter if in steady or not
A lot of players would suggest "Oh, well why would you want your healing pet to mindlessly follow you"
Maybe, because people that micro manage are getting tired of seeing their pet go off and heal a dps that falls to 60% first, rather than heal the tank who is at 80% and about to get hit by a big mechanic.
As a micromanaging Scholar, myself, I have ran into this bug quite a few times, and it seems nobody quite noticed it until now. Hopefully this bug will be noted and players can come to unite and make the class more improved than it really is.
-ST