Right now DRK's dmg debuff is rather a pain to use and can't be kept up 100%. Knowing SE, most likely they will either significantly boost the duration or take off the parry requirement. In fact SE prob didn't want DRK to have both dmg reduction AND -int debuff up at all times since that will be almost far too powerful (since raid damage traditionally speaking is mostly magical).
Ofc, there are also physical nukes, A1S' dread prey is an example. A Pld's RoH debuff reduces that amount, and they can also just cover a person for easy healing.
Yes, slimes will become easier to kill with gear and echo, but player skills is another matter - why do people still wipe in t9 even with full 120 gear? As a paladin you can do something about all the "shitty situations".
Speed runs? I am very familiar with them, just 2 months ago I was farming many ravanas on my pld, 2 healers (with scholar mostly dpsing), 1 tank, 5 dps. I have done it on all 3 tanks and also my scholar. Pld need less healing = more dps from healers. Also, please do not compare a warrior who tanks in full slaying+deliverance with a pld who tanks in shield oath in full fending/half fending. The DPS difference is really less than what people think. Not to mention there is still DRK in the equation who still does very good damage while in grit (and can drop grit for every blood weapon CD). DRKs imo are the undervalued tank in the DPS department.
As for cooldowns?
Foresight (~7% physical) vs Rampart (20% everything)
Bloodbath vs Convalescence
Vengeance vs Sentinel
Thrill for battle vs Bulwark
Holmgang vs Hallowed Ground
Pretty much with the entire ARR kit, pretty much pld has the superior set of cooldowns, maybe with the exception of Thrill for Battle allow the warrior to self heal.
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Equilibrium vs Clemency/Divine Veil
Raw Intuition vs Sheltron
Equilibrium I agree is better. It is not as if Clemency/Veil are useless (Veil is actually a lot stronger than what people give it credits for but take some coordination to use). RI allows a warrior to parry a series of hits (and is often used as a dps CD), but sheltron will allow a pld to pretty much block every single physical burst attack (think flatten/blind blade, etc) - how completely broken is that lol?