Not likely. The training of the neural nets adjusts for induced randomness. Witness the high quality AIs for poker or backgammon, where winning a single game isn't needed for the bigger multi-game win.
I expect StarCraft will be the next professionally played game to experience destruction at the hands of AI. Then it will be clear that "fog of war" doesn't matter much in the decision tree from a probabilistic perspective.
The irony being that faced with a "fog of war" maybe you do want to underestimate your opponent because then, if you end up surviving, you can claim brilliant insight and leadership which bolsters the short-term position, even though in fact you simply were lucky. So in the open-ended problem of tactical maneuvering in business or war, AI might not have an advantage any time soon.
I expect StarCraft will be the next professionally played game to experience destruction at the hands of AI. Then it will be clear that "fog of war" doesn't matter much in the decision tree from a probabilistic perspective.
The irony being that faced with a "fog of war" maybe you do want to underestimate your opponent because then, if you end up surviving, you can claim brilliant insight and leadership which bolsters the short-term position, even though in fact you simply were lucky. So in the open-ended problem of tactical maneuvering in business or war, AI might not have an advantage any time soon.