Question about coolant sensor and cooling water temperature display Peugeot Elyso 125

Hello together, since the last (short) ride, the coolant temperature indicator of my Elyso 125 always shows a full rash. Even if I activate the ignition in the cold state, the display of the cooling water temperature immediately shows a full rash. I have now exposed the cooler at the front and removed the two plugs from the sensor and activated the ignition. Again, the display is in full rash. Is this normal? So there is always a full rash in the display when d If I connect the two plugs to each other/overbridge, the fan is switched on and the display is also in full swing. Before I order a new coolant sensor (in the meantime quite difficult to get), I would have to know if it is normal if the display is fully charged with withdrawn plugs. I ask for information and help. Thank you and many greetings from Lahnstein, Claus