If you remove the other snap ring as seen in this picture, the entire clutch winding can be removed.
Your initial reply was that it can be done on the car, but the procedures you show in the pictures is with the compressor removed from the car and the repairs to the clutch done with the compressor off the car. I'm sure that it can be done with the compressor still on the car, but as I stated in my post it will be easier accomplish if the compressor was off the car.