There is suggested diagnostic test that says if you ground the green wire which connects to the sensor while key is "On" and the gauge sweeps "hot" it means there is no break in the green wire leading to the gauge cluster and the gauge itself is working.
I am having the exact same issues with my gauge. I replaced the sensor and the gauge is at the 12 o'clock position when cold, and the 3 o'clock position when hot. Must be a problem with the gauge itself
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