Update and resolution:
While looking through the installation manual very carefully for any clues about why the fridge did not like my cabinet, I came across this text:
"When installing the refrigerator, the installer must block the space between the storage cabinet and the top of the refrigerator, otherwise heat will become trapped in this space, making the top of the refrigerator hot, thus reducing the efficiency of the unit."
My fridge is about 4" shorter than the cabinet it is in, and there is just open air above it. It has never been blocked off properly. There is a little 2" high cardboard barrier running across the top rear of the fridge that says "This is not packaging, do not remove this." but it doesn't say why. Now I know that it was supposed to help block the air space on the top of the fridge. But being only 2" high, it was NOT blocking that air space.
When I relayed this to David, he confirmed that this could very well be my issue, and also sent me a diagram showing that, if possible, I should try and block the airspace between the back of the fridge behind the condenser fins and the cabinet wall as well, leaving only about 1/2" of space so the air has to run up through the fins to escape out the top.
So I went to Home Depot and got some 3/4" thick styrofoam insulation and spray adhesive. I cut the styrofoam into correctly sized pieces and stacked them until the stack was JUST thick enough, stuck them together into one big block, wrapped it in aluminum foil for protection from heat, and attached it to the cabinet wall behind where the fins would go.
For the air space above the fridge, I removed the useless cardboard barrier, and cut a piece of cushion foam to the appropriate size. I stuffed that in from the front after sliding the fridge into the cabinet, and used a piece of PVC pipe to push the foam to the back. Then I climbed up a ladder, removed the roof vent cap, cut the wire mesh, reached down in there and adjusted the foam so it's completely blocking the air space on top of the fridge, but not touching the fins or tube. Then fixed the wire mesh and put the roof vent cap back on.
I then hooked the heater up to direct 120V again and reconnected my thermometer with remote probe that goes inside the fridge so I can check the temp without opening the door.
Just 4 hours after I put it back together, the fridge was at 15 degrees. I didn’t believe it at first, I figured my thermometer must be freaking out so I put the metal-spring-type fridge thermometer and a bottle of water in there. I went back out 15 minutes later and the second thermometer confirmed 15 degrees and the water bottle was already getting chilly. There is frost on the evap fins for the first time EVER in the life of this fridge, and there was a bit of ice on the drip trays.
The freezer thermometer is reading -20 degrees. That's as low as that thermometer goes. All of the mercury is down inside the bulb.
So I think we can call this fixed, and the problem was hot air being trapped in the dead space above the fridge. Kinda makes me wonder whether my original cooling unit was in fact blocked, but that’s water under the bridge at this point. Even if it wasn’t blocked, maybe it was a skinny ammonia charge, no way to know now.
So there you go. There's something to add to the troubleshooting questions: Is the open air space in the cabinet on top of the fridge properly blocked off, or is hot air pooling up there, working against the cooling unit? The builder (Travel Lite) never installed the fridge properly. It has never worked really well, even when it was brand new.
I look forward to some really freaking cold food and drinks now.
Next up: Returning the wiring to the default config, with thermistor connected and control board regulating the boiler, and making sure it STILL works right.