Problem Solved!
Thank you all for your helpful responses. The issue has been found and corrected. On the female end of my shoreline, the ground was missing one side of the two contacts. (Must have fatigued and broken off over time.) So when I tested my shoreline with the meter, everything was appearing fine because the probe was still making contact, but when plugged into the camper, it wasn't "sandwiching" the male-side ground prong, thus creating a bad ground (connection was too loose).
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