The test results you have selected are very old and may not represent the current state of Wine.
Selected Test Results (selected in 'Test Results' table below)
starting the game: the main menu appears
What does not
mouse clicks don't register in the main menu: it's impossible to start a new game or even quit the game properly.
What was not tested
anything past the main menu: the mouse problem makes the game unplayable.
Interestingly the mouse problem seems to affect only the Steam version of the game: the demo (from the developer's site) worked correctly for me.
No dll overrides were needed to start the game. Once the problem with the inoperative mouse is fixed the game should deserve a much better rating.