If a healer doesn't want to do a speed run. As a tank...you are not doing a speed run, believe me. Nowhere in your "job description" does it say you have a right, as a tank, to unilaterally decide for the group how the dungeon run is going to be pulled. As a matter of fact, if the two DPS want a full clear and the healer does not care...you are obligated, as the minority, to clear the whole dungeon for them (or ditch the group I guess).

How ironic that the OP complain about the DPS being "entitled" when it is the OP, itself that is coming across as the entitled one.