Rets can do FAR FAR more damage than warriors and are only second to ferals in being able to stick to their targets. Frost dks can also do far more damage than a warrior while still sticking to their target far better than warriors (nevermind getting to their targets which is the most potent "charge" ability in the game by a massive margin).
For frost dks (you have unholy too in case you're forgetting) you have ams to immune roots and spell snares allowing you to stick to a target very reliably. You also have the option for death's advance, if you don't have that you can just go ahead and pick one of the most potent stuns in the game instead which is far more reliable than shockwave for warriors (which if picked screws you out of the only ability that lets you stick to a target [bladestorm]).
Nevermind that you can passively move 15% faster like every single other melee in the game EXCEPT warriors. You have a far better slow that also allows you a better way to stick to targets. The only place in which warriors are superior to FROST dks (no comparison with uh dks) is defensively. But that doesn't matter because while you can die in a stun as a warrior through every single one of your cds to a single enemy dps, you can just completely nullify the cc and run off/counter that burst as a dk.
You couldn't have drawn a worse comparison.