That's just the regular one - Luthiene's looking for the red one, which does seem to be clothcraft since all of the colored ones are listed as clothcraft and exist on the clothcraft recipe page. (That'd be a lot of fail getting them that wrong.)
But I think there might not actually be one. It doesn't exist on ffxiah or bg - I think someone just had the same idea, that it ought to exist, and pre-emptively added it to the other wiki.
Not sure, though.
Edit: From the
talk page:
wiki said:
As of Dec. 2008, this item does not exist. Other colors do exist, but this Red one does not. It should be removed from the wiki until such time as it/if it, ever comes into game.
Even more: it seems like it's SE's fault. The NPC at the guild apparently will even tell you the recipe. The item was just never actually put into the game I guess.