The taking of an airfield is shown on the screen and on the map, so I wouldn't think that it really needs to be communicated. The advantage of a team taking the airfield quickly is that they will have the tactical advantage to form up and applying whatever tactics have been decided.
However.... the taking of the airfield should come later IMO to make the scoring extremely simple. Players attempts to land often result in crashes or a bailout once landed becuase they have used a lot of the ammo to brake. looking at the scoreboard before combat starts you see players with several deaths and some with non. If everyone went into combat with 0 deaths you can see exacty how the game is panning out, who has been killed and who is still alive.
Players that respawn following a death are then required to capture their airfield and, only once it has been captured, can a damaged player return to it or attack enemys that are viloating its airspace. This gives the same objective but later in the session. Just an idea......