Yes, there is a green kite in-game... but it was still possible that they created a new model for jade kite. I highly doubt it, but I didn't want to "jump to conclusions."
While I personally love the cloud serpent mounts to death, I'd posit that there are many more deserving mount models in game than the kite, at least for such an achievement.I'd rather have a kite than another recoloured serpent whose animations make me nauseated.