Are you mixing up Eye and Path here? O_o
Also, I've yet to see a PLD OT parse out-do a WAR, despite all the apparent math that shows it should. I'd like to see one, though, I'm interested in the numbers PLD can push. That is, in a fight, not on a dummy.
If you're sacrificing healer DPS for your own, you're a bad WAR. You don't even need to really prioritize DPS to out-do a PLD in tank stance, just have Path up for big attacks, Eye -> BB otherwise, IB on CD unless you need it soon, etc. etc. Not hard, doesn't cost your healers DPS unless they're super bad. SCH should be in Cleric, PLD MT or WAR MT... so I'm not sure why both healers would need to be out of Cleric unless you're running in with like 7k HP in Defiance.1. Yes, they have more damage while MT, there is no doubting that really, but YOUR damage is far from all that matters, and trying to prioritize more damage as a Warrior can easily be at the cost of overall group DPS, because if both of your healers need to be glued to you in order to keep you alive, you're missing out on the DPS one of those healers, likely the scholar would be doing in cleric stance instead, which overall is probably going to be more than what you're gaining over a Pld as the War MT. (Using Turn 13 as an example, it's been solo tanked with a Paladin, but not yet a Warrior)
Also, PLD solo tank method is essentially the same as WAR, nothing that the PLD did in that video can't be done with a WAR as well. Vengeance + Thrill + Conv + SS/Adlo/etc. easily works for the Akhs, Shadows burn too quickly for it to matter (but, y'know, CDs still available for that), adds hit like feathers except DS which you have IB and whatever for, Holmgang in place of Hallowed, etc. etc. You can also solo tank T12 the same way as PLD. There really isn't some huge discrepancy between PLD and WAR; PLD has a shield and HG. Shield is kinda mitigated by IB existing, and IB is on demand. HG is good, of course, but it's not always necessary. WAR, meanwhile, has mitigation ready at a max of 20s, which is fantastic for fights with rapid burst damage as opposed to the current ones which line up well enough with PLD CDs. Also more damage while tanking but apparently that's not good enough when a PLD can go SO on progression content oh wait they can't oh jeez.
PLD is also a god awful job and most people that main it cling to the idea that they're just barely a better tank than WAR because that's pretty much all they have going for them. Which is cool, and fine, but WAR can literally tank anything outside of min/max bleeding edge progression... which I'm okay with, personally. Expansion is also coming up where everyone will get new abilities, and since PLD is literally getting another combo ability (wow! that'll make the job more fun! one more button to press!) I can't say I have high hopes for PLD. An in combat raise would be overpowered in many ways but it's also never happening so forum theory crafting is like w/e zzzzzzzzz.