http://bugs.winehq.org/show_bug.cgi?id=27492
--- Comment #2 from David aim_here2002@yahoo.co.uk 2011-06-18 16:52:05 CDT --- Odd. There are two other reports in the appdb comments section of the bug manifesting itself. I'm using Debian Sid amd64 with an ATI card and the proprietary driver (though I don't think Starcraft will care that much). I use the retail CD, though the two other reports seem to relate to the version that can be downloaded from battle.net.
One of the reports is from John Lindgren, who apparently uses Arch Linux x86_64. Maybe it's a 64-bit-ism.