Part of the original intent of the game was to portray the crucial issues of allied cooperation, where you are constantly debating who is doing what and the prudent stewardship of the teams efforts are constantly on the ropes.
This is what the war was historically with Stalin constantly being suspicious of UK and USA trying to win the war paid for on Soviet blood by the denial of opening the second front, while UK is suspicious of the eastern European territories falling to communism, and the American player trying to play peacemaker with both UK and the Soviets and get them to play on a team.
Its also the reason behind the political decision for Market Garden, The Bulge Campaign, Lake Balaton, Bagration, Kursk, and D-day.
All this is totally lost by perfect coordination of three colors of armies… you might as well say two of the allies were under the command of buck privates.
The two axis player also coordinating and having for example Japanese ships in the Mediterranean, or German planes landing on Japanese carriers and all that rubbish only happens in those 2 player games.
If your not on a team of people with different ideas on how to pursue victory and have to fight all these types of other considerations “if you land in france, ill attack and get back Persia” type of events, then you lost the most crucial part of the game. The real part of the game is to become the leader and convince the team that you have the best solution to winning… kinda like what they do on the apprentice show… And your able to win over the team and play as a team. If the team has divergent ideas on how to win they will lose and thats exactly what the wars experience was on a geo-political level.
What you advocate is a form of military leadership based not on respect for experience and results, but some faulty notion that AA is some game only of static math formula following all sorts of statistics of results and arguing over LL all various contrived solutions by people who want to reduce the game to science and no psychology. I think like the AH game Diplomacy this game offers many interpersonal skills that are directly linked to winning or losing based on the result of negotiations with your partners and how you do it.