I'm my experience, I have run into more tanks that will over pull wipe and repeat even if the healer cant keep up than healers that will pull ahead of tanks(which I've never seen personally not saying it doesnt happen it just hasn't happened to me). Also I dont personally think ilvl means the healer can deal with a wall to wall pull. People would rather risk idk 3-7 mins per run big pulling than taking it easy.
And to the people that are like HEALERS ARE MORE IMPORTANT ... NO TANKS ARE both shut up. Tanks protect the party healers keep the tanks from dying. Both jobs are equally important AND theres a reason why some magic dps can heal and raise. I am also one of those tanks with tank anxiety, I have (savage)/(high end) anxiety because I just want people to have a good time. So I'd rather take it easy and give myself the highest chance of not messing up than try to rush the extra few mins and look like a jerk.