Thread showing Searain's test:
http://www.bluegartr.com/forum/51673...ml#post1803211
This could be useful. Tests show that Rampage does not have a critical hit bonus. If I were to wager a guess, I'd say Raging Rush is the same, though this is obviously a guess. As Valisk says, Raging Rush won't beat King's Justice unless you can guarantee at least 1 critical hit on your average Raging Rush, which is an assumption that only works out if your WS set has a standing critical hit rate of at least 30%, and it *will not* have that crit rate unless it has a critical bonus.
So really, the conclusion of the argument rests on whether or not Raging Rush has a critical bonus at 100% TP.
For the sake of argument, this is probably as close as you'll ever get to 30% critical hit rate (and therefore probably pretty close to the "optimal" Raging Rush set):
FFXIGEAR.com
That's capped accuracy (when you consider 8/8 merits and Sea Gorget bonus), plus 122 DEX which should cap your critical hit rate at 20%. 4% from merits and 6% from gear puts you at 30%. So, unless you have gear like that, it's probably better to use King's Justice (notice that 30% critical hit rate would require a Claymore Grip).
For comparison, I'd say this is your best King's Justice set:
FFXIGEAR.com
It seems to be just as I said before. If you can cap crit, RR should be better. If you can't (and you *can't* in most situations), KJ is better. All that math that has been posted so far are assuming you're fighting Greater Colibri, which are piss weak anyway.
Note: Those ffxigear.com shots are Elvaan M, which is what I am. If you switch to Mithra or Taru, you can probably lose the Toreador's Ring and use Flame instead. And I forgot to switch to the correct KJ gorget but you get the picture.