I should have been more clear. The sharing chassis ground only applies if measuring with the plug installed ... A very unlikely scenario.
If unplugged, and if you are getting a short indication between a pin and the WUR body, then it is likely that the internal wiring is shorted to the case or heater assembly and that's a problem needing repair. As I recall, the wires are Teflon insulated and as such using a similar wire is advised but harder to find). An option might be using a piece of plastic adhered to the WUR's inside wall, to insulate between the exposed wire and the WUR.
But it may also be shorting to the heater assembly. Heat shrink tubing "may" be an option. I've seen slide on insulation used in products like coffee makers that can withstand heat that may be an option. But that requires taking apart broken appliances until you find it ... :-(
Time to take it apart and see what's going on.