Well, I think it's toast. It arrived today and I took a minute to tear it apart and check it out. As advertised, it shows a constanct ~-.41V on DCV, -41mV on the mV range and corresponding amounts on the current ranges. If you rance up, the displayed voltage goes up too---410V in the 1kV range and so on. Ohms shows OL and Hz works. So I have a nice Hz meter. I tried just removing Q1, Q5, Q6 and Q8, no difference. I even removed D4 before I realized that it was part of the function switching, so I put it back.
You'll see that the schematic calls for 4 MOVs, SG1-4. You can see from the picture that they aren't installed on this version. I'm thinking those might have helped with the electric fence incident. Maybe not, but I have to wonder about those CAT ratings...or maybe I don't. The 7D7-751K are four for a buck from Mouser, so they literally saved a buck. Or less in bulk.
There is actually voltage on the terminals in the DCV mode. I measured ~-2.9V from V+ to COM using a high-impedance meter, that dropped in half to ~1.4V with a 10M impedance meter. I tested the regulator W1 and COM is +3.0V from VB-, so that seems good. It seems obvious that there is leakage from VB- to VR1 pin 44 of U1. I could speculate as to the internal design of U1, but it doesn't matter much--U1 is toast, or so I conclude. Does anyone have any other ideas?