At what engine speeds? If you test at idle it's irrelevant because air speed through the intake at idle vs under power is totaly different.
Also I've watched Richard Holdner test air intake temps many times and he always finds that actual intake air temps under power don't change. He litterally has videos with dyno proof on youtube.
I did testing years ago on this subject.
When you run the math on the flow (CFM), my little old LS1 flows about 500 CFM at 5500rpm (ish).
I did do this quite a while ago, and alot of whiskey has flowed under the bridge, but.......
Then when you then add in the size of the intake, a rule of thumb is that the air travels around 100 meters per second where the engine makes its most power.
Therefore, if your intake is long, say 1000mm, the air is in that intake for 0.01 of a second, for thermal transfer to actually count, you would need to have an enormously long intake.
I'm sure someone smarter than me could crunch these numbers and see what is required to transfer engine bay heat, lets say 80°c, into an intake CAI flowing 100ms with a AIT of say 20°c.
Googling...
https://www.musclecardiy.com/performance/induction-math-high-performance-engines/
Note that air capacity is a function of displacement (volumetric capacity) and engine speed (RPM). The displacement is divided by 1,728 (the number of cubic inches in a cubic foot) to convert it to cubic feet. The RPM is divided by 2 because the engine only intakes on every other revolution. The formula can be simplified as follows:
Air Capacitycfm = (displacement x RPM) ÷ 3,456
Time for more whiskey