The fuse is fine, I checked it multiple times even with a meter, and replaced it too.
So the temp sense module has 2 sensors, is that what you are saying? It would appear that the ECU is getting the temp as it is showing that it is hot on the display, so it should be turning on the fan.
Is there a wiring diagram for the fan circuit? I would expect 12V on the switch relay, but I find nothing. Even if the relay switch is a low side switch I should see 12V from the fan motor on one of the pins, no?
You are correct about the display, when hot it turns on engine-hot icon and then when it gets hotter it flashes that icon and the temp gauge.