Do Moogles Have Tails?

[DamianFatale]

While doing the White Mage quest line there is one moogle named Kupcha Kupa that says:

"Why I'd give my pom and tail to stand before the illustrious A-Towa-Cant!"

But looking at the ball of fluff he doesn't have a tail, no moogles seem to. So I'm wondering. Is this a typo somebody missed or do they really have them, just hidden somewhere in all that fluffy fur?

Maybe it's the thing that connects their pom, or a mistranslation. Also this would be better for the lore forum.