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)
It loads properly. Adding objects and changing materials works as you'd expect. I was able to resize and reposistion objects normally. I was able to render a quickly-made scene with no issues apart from the menu issue (see 'what does not work').
What does not
The "sun dial" (? The button to control the posisition of the sun/moon) does not work. The menu doesn't pop in and out properly (it's supposed to pop in on mouseover, but doesn't do so reliably). It's difficult to access the menu bar after rendering a picture (I had to minimize and maximize bryce several times before I was able to finally get the 'file' menu).
What was not tested
Didn't try to make an animation, didn't try to import OBJ files (will do that later -haven't installed Daz3d yet, though).
Most of the functions work, but I had to manually find and install MSVCP60.DLL before I was able to run the program.
I don't believe that this deserves a higher rating because while most of the functions of this program do work, the ones that do NOT work (being unable to reliably access the menu and being unable to change the lighting in the scene) are significant deal-breakers.