A stuck shut thermostat would immediately give you high temp. reading as well as high enough pressure back through the supply to waterpump hose which your radiator cap would vent into the coolant recovery bottle. As well, your OBD 1 engine diagnostics - codes readable on every vehicle since 1994, would show any issue with temp.
Actual testing - not by some computer - Radiators are protected by the 12-15 PSI cap which vents high pressure to overflow bottle.
Cold pressure testing of the coolant system will prove the cap venting, hot water test of engine temp sensor will prove it. Just take the dang thing out of the engine block and put it in heated water with a candy thermometer and read the the ohms. Simple test, just stike the thermostat into hot water, see if it opens when the water is heated to near boiling.
Suspect the mechanics are at odds with the warranty co. They have experience of non payment from extended warranties and dont get paid for extensive diagnostics. Max