Edit: I also found this pretty neat for those who use "They never had them before" as their arguement

Google FTW

Dragoons are powerful physical attackers that wield various types of spears and lances. They wear special armor meant to invoke the imagery of dragons, including helmets shaped like a dragon's head, spikes, and wing and scale designs. Dragoons are sometimes more directly tied to dragons, such as owning them as pets or otherwise befriending them. The trademark ability of Dragoons is Jump, which allows them to leap into the air, avoiding attacks while airborne, and descending later to impale enemies and deal heavy damage. Some Dragoons can upgrade Jump to Double Jump, which does increased damage. Another recurring Dragoon ability is Lancet, sometimes called Dragon Sword, which allows them to attack an opponent and drain their HP and MP to heal themselves
Yes Yes Yes that's what I am talking about. So in a way DRGS WILL have Wyverns.