Eh, I'd say it wouldn't pass in my games, since the flavor of battle jump implies that you to crash down onto the opponent, while the wings as a parachute would make your drop much less painful for you and your opponent. I could understand if somebody ruled the other way as well though.
But since you can fly starting at 6th, you can do a dive, which is a double dmg charge with a piercing weapon from above - without spending a feat.