TellTale already fixed this issue... in 2007! See this
this thread. It boils down to installing the fix at
http://telltale.vo.llnwd.net/o15/gam...patch_1003.exe
Then it will all just work, it's so simple, really
I can't believe I didn't find this earlier, or anyone else... for that matter :P
EDIT:
This does make the current 'Running the games on Linux howto' that started this thread a bit too complicated than needed. Would anyone like me to start a new thread with current instructions? A lot less magic is required now