I could hear the fan cycle on and off for sure. As i sat in traffic the light flickered on then stayed on regardless of the fan. Moving at speed ..north of 15mph seems to clear the light. But slow down south of 15 and it comes back immediately.
If the fan is cycling on and off while the light is on I would say it is probably bogus. The fan shouldn't cycle off if it is hot enough for the light to come on.may want to put a temp gauge on it and find out the actual temp and not rely on the idiot light ( no I am not calling you an idiot

just the light )