As the title states: can the Amber Draught Chocobo (obtained via 8 gold feathers from the Calamity Salvager) fly in Heavensward areas?

I was wondering because I already obtained the Draught Chocobo through a previous Recruit a Friend campaign reward, so I wanted to make sure I wasn't wasting my gold feathers on something that cannot fly.

As well as something I already own :P