https://bugs.winehq.org/show_bug.cgi?id=57758
--- Comment #13 from Louis louis@qdcec.co.za --- (In reply to Alex Henrie from comment #10)
It might have even been fixed properly between version 1.16.1 and version 1.17.0. The best we can do is to tell Wine users to install the 1.17.0 patch from http://ftp.blizzard.com/pub/broodwar/patches/PC/BW-1170.exe to play StarCraft.
I was indeed on patch 1.16 and updating to patch 1.17 has fixed this bug for me. I'm happy with that as a workaround solution. (Sadly Blizzard's FTP site is no longer browseable, so thank you for providing the URL to the patch, which still works).