The good news is that I completed the Red Wire By-Pass; the bad news is that it didn't change the situation with low/no voltage coming from the VRR--same as before. I also had the battery load tested at Interstate Battery and they said it was fine.
I swapped back to my old VRR just to see if I could find anything different between the two of them. Nothing that I could find was different--I'm still getting 35V AC at all three yellow wires at the 6P connector to the VRR with the engine at idle speed, but the red/white wire at the 6P shows the same 11.6V DC as I measured at the battery terminals, again while the engine is idling.
This time I noticed that my old VRR was quite hot after maybe 5 mins of running the engine. The STOC loaner VRR does not get hot. Although I previously thought the oily stuff on my old VRR was from somewhere else, now that I have a clean one to compare to I realized that it's probably meltage (left bottom quadrant in the picture), so my VRR is probably toast:
I'm sure it's possible that whatever my problem is toasted the STOC loaner VRR from the first instant I had it on, but is that likely? Again, there's no sign of heat or damage to the STOC loaner. but everything seems to be fine up to the point of the AC entering the VRR...but the right DC doesn't come out.
One thing I can think to do next is pull the red/white wire out of the 6P and test the VRR output on the male paddle with the multimeter probe while the engine is running. With no connection to the battery I should be able to see if the VRR is putting any DC out at all. However, I haven't been able to dislodge the red/white wire's female paddle from the 6P connector as easily as I got the red wire out of the 4P for the Red Wire By-pass. What's the trick to doing that without ruining the 6P?