Flying units against flying units in air and on land

Up till now I have always either intercepted opposing flying units with my own(when mine are stronger) or lure them to land and use my flying units to attack their artillery or other range units(when mine are weaker). Instead I am thinking if there might be certain advantages if both flying unit fight on the ground instead of in air?

I tried to test this out but since there needs to be land units present for flying units to land on fight, I cannot reliably conclude if there are any advantages in doing so. I am asking this question in hope someone know of certain data or somehow manage to make two flying units combat on the ground to see the difference.

So my question is when flying units fight against flying units, is there a difference if they fight in the air or on the ground?