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well im am going to exaggerate some numbers to get my point across.
Say you have 50 degree air coming into the filter that is located out of the engine bay(nice cool night). Thermodynamically speaking, yes, the turbocharger will compress the air which generates heat, and there will be some heat absorption from the the turbo itself and the intake and inter cooler piping. Then obviously the inter cooler will do its job so on and so forth.
But all of the heat coming into the intake track will be consistent more or less given the engine is performing the same operations. Heat transfer is dependent on time and air isnt a great conductor of heat so most of your temperature increase is from the air being compressed.
so if you are pulling air from a hotter source, say near the radiator or close to the turbo or worse, when people run the dump tube for the wastegate near the filter, you might be pulling in air that is upwards of 200 degrees. That is a huge temperature differential.
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