On Mac CO6.0.x PGIII can be installed with ease. After installation the game will run, but no updates appear in the display. Everything seems to be working properly, there are sound cues attached to the menu that appears that can be heard playing in response to the clicks as you'd expect, but the screen remains black so it's difficult to get anywhere.
I notice that there are screenshots that have been uploaded, so it appears it works to some degree on other versions of CO, although there's no information in the images to get more specific than that.
This problem appears to be a common one that affects many games from the 2001-2003 era, at least according to a thread on the Wine bug tracker. The odd thing is that the report claims this bug is due to CO/Wine not supporting threaded D3D, which strikes me as odd because these games are old enough that I would generally not use threading. Perhaps I simply don't understand the thread. Anyway my PG report over there was filed under this bug, along with a LOT of other games. If they have correctly filed it, it seems that a large number of games might be made to work with these changes.