Guild Wars 2

Pets don’t heal out of combat like other class pets.
Pets run way ahead of character after you stop drawing aggro
Pets that are attacked by mobs – only the 1 that is attacked will fight back the others stand there until you attack.
Pets stand too far away from me so using well of blood (AOE heal) is very difficult to work on them – non issues really if pet’s healed out of combat.

Since we are talking about Necro pets – how about they heal out of combat. – Other class pets do.