http://bugs.winehq.org/show_bug.cgi?id=23012
--- Comment #10 from Rico kgbricola@web.de 2011-12-14 14:47:34 CST --- Yes, using AlwaysOffscreen fixes the issue completely for me.
Also I couldn't see much of a speed difference between AlwaysOffscreen on/off, but I tested only a little bit.
Thanks for your investigation, it makes the game completely playable.