Okay, I've spoken to another user, and he tested his KPA with the same profile and said he does not get the same noises as I do. Even my wife, who takes no notice of my guitar playing at all, commented about the noise. I'm not making this stuff up out of some crazy desire to have problems with my equipment.
Is there any chance it could be a problem with a setting in my KPA and not a hardware issue? Could possibly sending a backup to support help?
Also, with no cable plugged in, there is intermittent noise that registers on the tuner around G#1/A1. What the heck is going on with my KPA?