Another way to disable Kindle for PC updates is to replace the "updates" folder with a file of the same name. That prevents an update from being downloaded. Kindle for PC will still ask if you want to download the new update each time it is restarted, but it will not be able to do so.
I have created a simple Windows batch file to preform this change. See attached.
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Update: Oops, I accidentally used the wrong folder in the first version of the batch file. I apologize to anyone who downloaded this previously.
The current version of the batch will fix the broken folder created by the previous version, but you will need to re-register Kindle for PC afterwards. Sorry!