@Der:
That doesn’t sound like any fun at all. “Hey you guys in the next room -are we winning?” “I don’t know - can’t see your board” “Got any more pretzels over there?” “Yes but we’re out of AA Guns” “Bill has to go to the bathroom - we’ve got to blindfold him” “It’s time to do a battle! Meet me out on the patio at the battleboard”
Actually, I can see the point behind this idea. When played by normal rules, A&A is an “open” game in which all the players have complete information at all times about the location and composition of all the forces on the board – friendly, enemy and neutral. In real warfare (and in various wargames), commanders normally have just partial information about non-friendly dispositions, so reconnaissance and risk-taking becomes important factors. A classic military-themed game that illustrates this principle in a simple way is Stratego, in which the position of the enemy pieces is known but their identity is unknown until one of your own units makes contact with them (with unhappy results for your unit if the enemy unit happens to be a stronger one).
Wargames with a partially-closed information environment arguably do a better job than open-environment games at letting players experience the tension and uncertainty that commanders must deal with when they have to make their plans without knowing for sure where the enemy will be, what types and numbers of forces he’ll have. (A good example from WWII, as illustrated nicely in the movie The Longest Day, was the German high command’s uncertainty about where and when and with what forces the Allies would mount the expected cross-Channel invasion, and hence how the Germans should best prepare to meet it).
So although I’ve never tried a two-board A&A game (with a referee as the most practical way of handling the flow of information between the two sides), I can see the potential attraction of having a game in which the two teams know the rule-defined starting set-ups of the two sides, but beyond that point only know what neutral or enemy units are in a given territory when one of their own units enters it.