There is more than one temp sensor, there is one for the gauge and a seperate one for the ecu.
It may well be that the temp sensor for the ecu is buggered, or the plugs on the two sensors have been put on arse about.
Gauges aren’t very accurate, in order to be accurate they would need their calibration checked regularly ( Not a practical proposition ) a gauge is best used as a comparator, the actual numerical reading in itself at any given time is relatively meaningless, it’s various readings over a period of time that show a trend away from normal is their true value in diagnosis.
Once you get used to the range where a gauge needle normally sits, it’s when the needle sits somewhere other than normal that you worry
"Keep calm, relax, focus on the problem & PULL THE BLOODY TRIGGER"