Yume wo mite Namida shite Kizutsuite mo . . .
I farmed Botanica on my paladin to get the Righteous shoulders off of Laj.
Farmed it from Neutral to Exalted—Neutral to Exalted—doing no other Tempest Keep quests and only doing the other instances two or three times.
. . .
I never saw those shoulders drop.
Good luck on your helm. lol
. . . Genjitsu ha gamushara ni kurushi