One thing to note is that if the coolant level is very low the two temperature senders may not be immersed in coolant…if that is so, then the temperature senders will not be giving correct information to the ECU or gauge
Its very true hence why it is so important to monitor the coolant level. I had that happen 25 years ago in a Montego (2 litre O series engine) that was my daily driver at the time. I was just heading east to the Dartford tunnel and the temperature needle had started climbing after I'd dropped down from motorway speeds. It didnt go worryingly high so i thought i would be fine to continue. As the traffic slowed further in the tunnel itself the car started misfiring and losing power. i hadnt related it to overheating as the temperature gauge was no where near the red so just carried on. The engine's behavior got worse and it conked out about 50 yards the other side of the tunnel and refused to restart. As soon as I walked to the front of the car I realisedwhat had happened due to the amount of heat being given off. I have no idea where the coolant went nor did I manage to get that started again so sourced a good 2nd hand engine that gave troublefree motoring.
Ive made a point on keeping an eye on coolant level on everything ive driven since.