I'm using a mouse from Logitech. I'm not sure if it's really an option from Windows. Perhaps it's an option from Logitech.
Quake 3 is a well known game, so there could be just a list with supported games, which includes Quake 3, but not WQ3.
I just tried it by renaming the wquake3.exe to quake3.exe but this had no effect on my mouse options.