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)
What does not
Some graphics rendering (see comments below)
What was not tested
Single-player gameplay is very smooth. The only thing I encountered was some graphics rendering issues: A "hall of mirros" effect on walls/weapons (taking a screenshot remedied this until I resumed gameplay) and a pixel color-distortion effect (e.g. after firing the BFG9000 or pulling up the menu with the Esc key.)
Graphics Issue Fix
by Nicholas Hydock on Monday June 8th 2009, 14:32
Anyone having problems with ZDoom or anything built on ZDoom and are experiencing graphical problems with black becoming transparent, or anything of the sort, can fix this by adding the line vid_hw2d = 0 within their .ini underneath [Global Settings].