slick, Since no others who have the model are responding I will wing it just based on my understanding of how chokes "used" to work. The butterfly is not normally totally closed in the throat of the carb. Otherwise when you pull the cable the lever will wind up further than it should because a stop of some kind is not working to keep the butterfly from contact. If the stop you feel when pulling the choke is, in fact, the butterfly against the carb throat, then each use may be stressing the shaft where is rests in the shaft bore near the crank. Repeated stress will work harden the shaft so it eventually breaks off.
You have said the engine is eating stuff. It is hard to imagine the engine surviving if , somehow, the butterfly comes loose with its staked screws, and enters the combustion chamber.
I have not tried to search out your PN drawing, because I was sure some JD enthusiast would respond. Perhaps they still will, if nothing more than to stop this theorizing.
Have you actually replaced choke parts that have entered the engine? Look at the choke shaft outside the carb for a stop of somekind that is either broken , missing, or not adjusted.:smile: