Always use 'em when field dressing unless I forget 'em. I'm not really concerned about disease, but after trying them once, the type that come up to your shoulder + latex on the hands, why mess with bloody shirt, watch, everything again? I also wear latex gloves when butchering, just to make clean-up easier.
I bury them when done (on my own property) or take 'em out. Only thing I don't like about 'em is you don't have quite the feel for the knife, so be careful when cutting the trachea, stuff like that.