For daily roulettes, I believe WAR's the strongest. You have the most options to put out serious damage while remaining tanky. You can go into deliverance and never worry about what comes next because you have many cooldowns. You can even pop unchained while in defiance. If you're especially confident, you can use IR for 6 decimates. Zerk's shortened CD means it's now available for every pull. Basically, you can rely on WAR to give you fastest dungeons thanks to its top tier AoE/single target and competent tankiness.

I feel DRK is the tankiest, given you stay in grit and keep TBN on cooldown. But given the limitations for blood price and how that mixes with delirium, I suppose you have nothing better to do than to stay in grit anyways. This is all in the context of dungeon pulls.

For EX primals, according to fflogs the tank with the highest dps is WAR if you ignore the two PLDs on susano ex who were given single target balances by double ast.