From my experience, outdrives don't have issues with the type of engine that they are mounted to. In the Northwest at least you see them mounted to diesel's all the time on boats like Sea Sport and Osprey.
You do have a significant issue in warmer waters (Florida) with higher rates of corrosion. Given that outdrives have a lot more mechanism in the water than inboards, and can't be raised out of the water like outboards, they can get hit pretty hard in these waters.
You do have a significant issue in warmer waters (Florida) with higher rates of corrosion. Given that outdrives have a lot more mechanism in the water than inboards, and can't be raised out of the water like outboards, they can get hit pretty hard in these waters.