I confirm that it works. Just a note... Even if you have Brood War and copy the file for that, you'll need to do it for Starcaft too if you want to play the original campaign.
In other news, I got all this working on my Linux laptop. Unfortunately, if I try to play the game fullscreen using the default open-source "ati" video driver, there are these huge black bars on the screen in 2 places. I tried getting and installing ATI's "fglrx" driver, but it turns out it currently only supports series 9xxx and higher. My laptop has a Radeon Mobility 7500. So that sucks.
But I can play it in windowed mode.