Nope, as a hunter I don't expect any healer to heal my pet for me. Those that do I thank but I don't demand it. I heal my pet and if things get too much for me, my pet heals itself ... it's one of the reasons I love having a spirit beast as a DPS pet.
On rare occasions should it die, after a fight I have had random healers kindly res my pet before I have the chance and I thank them for doing so. As a healer I on occasion will also heal a pet if the hunter isn't some moron doing anything stupid and generally a nice person.