Healer Tunnel Vision

I find that when I heal a group of troops with a healer, the healer focuses solely on those troops. I use the giant+healer strategy, and to stop archer towers from targeting my healers I often send a barbarian king. However, after all the defenses are down and the giants are at full health, the healer is obsessed with them and continues to heal them, instead of healing the barbarian king or any unit that needs healing. I think that the healer should check if the units are taking damage at all before blindly sending a heal.