An Air Battle, in this context, is when the two trainers reveal all of the Pokémon they'll use in the battle beforehand.
But that's not what an "Air Battle" was established as in the late DP eps with Gliscor...
Also, that wouldn't even make any sense at all to call it an "Air Battle" if that's all there is to it... where's the "air" part in all of that?...