Being talented into improved mend pet can help, if the pet gets feared mend pet ticks can cleanse it, but that’s also rng.
Healers can dispell most of those fears so it’s not 100% the hunters fault on pet fear pulling stuff, but still be mindful.
Also you can pull the pet back when you know the mob will fear soon. But it’s a dps loss, so the more you get used to it the better you are at timing when they will fear. It’s like the second boss in SL mind Control, I got used to timing when to remove my bow before the MC goes out to keep me from killing people… I still end up killing some people with melee attacks though at times lol.