Maybe I was not so clear, so I explain my opinion:
Leaving aside discussions about the support teams, on who wins (or lose) the war, etc..., I meant that what regards support team actions has been poorly structured, fixing support team stuff after the war began.
Imho, support team actions should affect every next turn: a nice solution could be to play support team battles before each turn (first turn included), and when I'm saying before each turn I mean before the deckbuilding period of every turn. Let's consider that support team battles don't take so much time to be played...
You can take this post as a tip for war 6#...