If there are no codes from the can-bus, I would suggest checking for issues within the wiring between the ECT and the BCM, as well as checking relay connections.
I attached a copy of the cooling fan wiring schematic. It included all components related except the gauge itself. Go to the body control module (BCM) and make sure there are no issues with wiring there. Also, confirm there is nothing wrong with the connection such as a loose connector, damaged wiring, and corrosion at the connector.
Here is a link you may find helpful:
https://www.2carpros.com/articles/how-to-check-wiring
If that all checks good, confirm the relays in the relay box are tight and not damaged.
Let me know what you find.
Joe
See pics below. Note: I had to cut the schematic into two parts to make it readable for you. I did overlap them and highlight areas to check.
Images (Click to make bigger)
Wednesday, January 19th, 2022 AT 1:32 PM