I can tell you that I summoned in MND gear, tested heals, stripped, tested heals and observed no difference. The reverse as well. Did you zone? Do anything that would make the fairy reset its position? (Teleporters in AK for example might do this).
Also is there no way to have cross hotbar and pet hotbar at the same time? That "Use pet hotbar" thing under Hotbar>Cross doesn't do anything that I can see.