In what way is it entitled? The DPS have minimal, if any, relevance to whether or not to do big pulls. I've done big pulls where the DPS died and it was just me and the Healer and we killed the pull before the DPS got back from their corpse run. Why would I give any weight to that role's input when they have such trivial impact on the outcome? That's not entitled, that's just reality.
In my experience tanking, low/dead DPS on a big pull (or more typically, DPS that steadfastly refuse to use AoEs even when up against a dozen targets or so) usually means I run out of cooldowns + the healer eventually runs dry on MP trying to keep my sorry butt alive. I've been in the healer position on this before too, when I'd have to spam Cure 2 on the tank or else they would die. That's not a thing I can keep up doing for very long.

I can't help but feel like you're referring to certain 50/60/70 dungeons that can be vastly outgeared and where a tank+healer can actually keep themselves afloat on a big pull, but most dungeons are not like those.