Dougranier -- the LP pressure was measured at the port next to the orafice - 11 inch WC per the manual. same pressure at any setting of the thermostat. Didn't examine the filter on the new thermostat prior to installation. Hard to imagine it could become plugged at initial use. Also the same problem with two thermostat -- odds seem high.
I guess I did a version of your water temp test. I connected a small test light to the power leads of the heater element. Switched to electric mode and observed for several hours. the light would cycle on/of indicating to me that the thermostat was doing what it is supposed to do - control the temp. The fridge did cool and maintain a stable temp.
The same movable piece in the thermostat that controls the electric switch also moves the plunger that controls the gas flow at the same time. I cannot verify that the larger gas passage in the thermostat is actually opening. I can only assume a NEW thermostat is properly adjusted for its intended use.
I'm thinking that there must be a restriction somewhere. but the lines and passages are so tiny it is hard to imagine. With the small amount of gas required would a restriction actually lower the LP pressure at the test port? Seems it would have to be after (downstream) the thermostat. The only device other than tubing between the thermostat and orafice is the safety valve that bypasses the thermocouple. That actually looks like a likely place.
Unfortunately the fridge is back together and installed. All the controls are on top and hidden until the fridge is disconnected and moved out of the hole.