Originally Posted by
Ligaments
Doubtful. There aren't a whole lot of abilities (especially in heroics) that kill you unless your understanding is poor. Sure, if the healer leaves you at 10% health for 15s (while the tank was out of danger) and you finally take enough damage to die, it's their fault. The majority of DPS deaths I witness as a healer are due to unnecessary damage taken due to poor execution. If I can recognize the fail early and save you, I doubt you'll notice and thank me. If I don't catch your mistake quickly enough and you die, I'd really rather not be blamed for it.
As a side note, I would have to say that DPS taking unnecessary damage and OOMing their healers is a fairly common cause of trash deaths/wipes so far in Cata. Mana is no longer infinite, protecting yourself properly can go a long way towards a successful run.