Alternatively: Can everyone else start keeping up in dungeons? Sprint is there for a reason. Nothing feels worse than having to heal up the extra 30k damage taken solely because the tank refused to pop Sprint just before entering combat. This comes mostly from a tank's perspective, rather than a healer's, as I queue generally dungeons only either on my main DPS or for tank instaqueue, but I find myself far more often pissed off from the sidelines (e.g. when running dungeons as a DPS) at a tank mismanaging pulls than at any "DPS healer".

There is nothing wrong with Regen being used during a pull unless the mobs are too spread for an AoE. Even then it's not an issue so long as the healer stacks on you. As a tank, I much prefer it to the healer lagging behind because of having to use a direct heal mid-pull. I've only twice had a disorderly pull due to it in 5 years of tanking, the first for all of two GCDs, and would have been no issue at all if there weren't so many casters among the mobs pulled or if the healer had just baited them to me, and the second only because the healer outright sprinted away from me, outside of Unmend range, with the mobs in tow.

As a i340 DRK I usually require just 1 or 2 HoTs / Adlos per Hell's Lid last mass-pull. TBN, CDs, DA-AD, and healer abilities take care of the rest. You're only really at risk if there isn't enough DPS going out for the CDs to affect the majority of the encounter's total damage taken (e.g. if there aren't a couple mobs dead, or all mobs at 15 seconds' or less HP) by the time all CDs are exhausted. As such I quite often worry for my life only if the healer isn't DPSing all out while my CDs are up.

As a tank, I find these slivers of tank entitledness disturbing. Learn to be efficient, and understand that your only purpose for being there is to accelerate the run. If you're having to hold anyone back outright, you're doing something wrong.