All that air intake temp is a little misleading.
A turbo engine is not totally reliant on air temps entering the intake, but is on air entering combustion.
Sure as most school kids know, cold air is denser in oxygen and oxygen facilitates combustion.
Trouble is now with the turbo in between the two compressing the air.
Compressed air is exceedingly hot (stick your finger over the end of a bicycle pump), therefore it's less dense in oxygen.
Cool, cold, warm or even hot air is now unbeliveabily red hot post turbo!
Intercooling helps cool the charged air and increase density, but the PCM needs to know the volume of air entering plus the pressure to work out correct fueling.
From the volume entering (MAF pre turbo) and the pressure (MAP post intercooling) it can work out the available oxygen entering combustion.
Intercooling only really works when air passes through it (when the car is moving) and can if incorrectly sized act as a heat sink, so drawing cold air when idling and the turbo isn't fully working will see the dense air being more effective than it would with warmer air.
The difference between under bonnet air temp and post turbo air temp is massive on the move, even after intercooling, so much so it's not the temp of the drawn in air that really matters, but the effectiveness of the intercooling.