I'm also facing the same problem and confuse. As the theory state the hotter the air the less dense it is.
I am using Toyota MR2 with 3SGTE ST246 engine. Being a mid engine car, this is car is known for it heat soak. My IAT sensor is place between the intercooler and the throttle body. The car runs well in a normal temperature (AFR of around 14-14.7). My location has an average ambient temperature of 35 degree Celsius.
However, during hot restart in a hot day, the the AFR reaches 16-16.8. In that time the IAT can reach up to 55-60 degree Celsius at idling. when the car starts to move the IAT will drop and once AFR reaches 14.7 the engine runs smooth. Therefore i need to increase the fuel in the IAT correction table.