Do you have a way to see air inlet temp? I bet it is much higher on a hot lap and the inlet sensor is also likely to respond pretty slow.
Yes; there is an IAT gauge option that seems to give pretty quick response to changes in airflow. It's generally about 5* above ambient while the car is moving a a reasonable pace, but I can watch it keep getting hotter the longer I'm stuck waiting to move.
Those hot runs hurt right from the 60', too. It must take a big gulp of the heated air and pull the timing, then it ramps it back in as the IAT comes down as the car picks up speed.