I have a Kenmore Coldspot side-by-side refrigerator, model 106.5227. The refrigerator section is frozen, even with the temp control set all the way (or anywhere I set it). This model has a mechanical control for the small door between the freezer and refrigerator sections. I ordered a new thermostat. When I took the old one out, I did a simple test - stuck it in freezer and connected an ohmmeter. It did click open after a minute or two, so I assumed it was working. I installed the new one and cleaned out dust etc from the coils while I had the unit pulled out from the wall. The problem remains. After stabilizing overnight, temperatures are: freezer -20F, refrigerator 22F.
The mechanical linkage between the left knob and the small door between the freezer and refrigerator is working. When I turn the temp control (right knob) fully counterclockwise I think I hear the relay click.