Make them vanish once a player engages in combat. So many people run around with Tythis following them and it super lags up the action, moreso than noncombat pets, I find).
Many people already have a hard time getting a hit in during an Alik'r Dolmen because of the lag.
So they just stand around like a *** literally waiting to be hit by lightning -- WHILE THEIR PET LOOKS ON.
Yeah, dismiss all non-combat pets and assistants when you enter combat.
Maybe offer a special pet-only toolbar in the Crown Store where you can slot an array of pets for quick summon.