DRK - SS vs Det ?

[Phoenicia]

...On top of that, due to Det no longer affecting auto-attack...
So crit >det/ss.

Please note: Determination STILL affects auto-attacks. It just affects them less than it used to in 2.xx. The 3.0 patch notes wording was such that it affects them less as opposed to "no longer affects auto-attack damage". I could quote but I'm too lazy to go back and find it in the patch notes.

Well, regardless of how finite (or infinite) resources are for classes, skill speed is a % increase to DPS and every class benefits greatly from it, specially now that it also affects DoTs. Most classes (all except DRK and PLD lol) have good ways to manage their resources anyways.

That said, I think the following order of stats should be followed:

WAR: Get SS to 470+ for the 9GCD zerk, then get as much as you can of the other stats in this order: Crit > Det > SS. WAR has good native crit chance (4.7% average from Abandon, or 10% on FC, and 10% more from Internal Release) so the "stronger" those crits get, the better.
WAR has 1 weak DOT that ticks on a 200 potency (100 initial + 200) so SS isn't as important for their "DoT damage". But WAR practically has infinite TP so skill speed doesn't hurt them in that regard. However, the more SS you get, the more the pacification from Berserk "hurts" since the 5s become more than 2 GCDs.

PLD and DRK: They have no native crit chance. I believe PLD and DRK should go for DET = Crit > SS. Also the lack of resource management makes SS "worse" on them. Even though they have powerful DoTs (500+ potency) so SS would benefit them nicely. Also it would allow PLD to fit in 1 more GCD (Shield Swipe or Stance change) and still reapply Goring Blade before it drops. SS has nice potential on these two but the lack of resource management is the main deterrent.

One would argue that fights have TP breaks and that "TP issues are not so much a thing", but Skill Speed means you may floor your TP before those breaks happen. I'm speaking from experience here.

On a side note regarding the other classes, I think SMNs arguably benefit more from SS than Det now. So they follow a Crit > SS >= Det priority. SCH should be similar for DPS, but since they don't have that many HoTs (if at all), they should focus on Crit > det = SS.

As for BLM, I think they have a resource people don't consider much: Server clock tick! Once you have too much Spell Speed, timing those MP ticks in Umbral Blizzard becomes a thing. Also I dun know if Det became a worse stat for BLM, it was their top priority in 2.5. If anything, I think their stats shifted to Det > Crit > SS. Determination should be their top stat since BLM doesn't Auto-attack anyways, SS became less important than crit was. I think there isn't enough testing out there to verify. I wish Puro Strider would update his sheet.

I also am not sure I agree with the WHM/ASK priority you listed as skill speed affects HoTs greater than Det now. But I could be wrong as my only healer is SCH atm.