In my experience WM at the highest skill level have faster clears due to both good aoe and better single target dmg, and pretty decent movement speed with tiger lust. With the medallion trinket you're pretty safe but you still have to keep an eye on your hp. It fluctuates like blood dk. You also have way more utility when it comes to that, with an aoe stun, basically 2 hp bars with instant heal, and can heal heal all teammates to full with 1 heal. But down side is that you usually can't pull the entire dungeon. With the right feet work you can kill mob packs before moving onto the next pretty well but you can't turn off your brain.
For casual dungeon clears warrior takes the cake for me. You can pull however much you want, and genearlly as long as the boss don't have a cc/disarm ur fine. The hands from magistrate somewhat alliviates disarm problem and I made human so I can cleanse stuns. Medallion comes in as a last resort.
Warrior wins cause way easier/can turn off brain and added bonus of having more gear options due to the fact that there's basically a socket gear for every slot compared to leather.