I HATED the fact that Starcraft II wouldn't let me do this when it first came out.
I loved Starcraft I, but the emphasis on twitchy play meant that I simply couldn't be bothered to finish Starcraft II.
I know several of the later games, and even the first games (as far as I remember) allowed two fully independent screens with the UI buttons only appearing on the first one - I used the heck out of it.
I HATED the fact that Starcraft II wouldn't let me do this when it first came out.
I loved Starcraft I, but the emphasis on twitchy play meant that I simply couldn't be bothered to finish Starcraft II.