I stumbled upon this thread when I was looking for what parts I needed to repair my mower. Thanks for posting this. I don't think I would have figured this out on my own. Who would think you'd have to remove so many parts for what should be a simple cable replacement?
Mine is an older mower and I needed the conversion kit for mine. I took a few photos to help folks that need to take this extra step.
To get to this point, I had to remove the belt and the tensioning spring before pivoting the transmission down to get at the cable.