heat is another effiecnt adavntage over a sc, its not sitting directly on top of a hot motor which brings the housing temps down, (cooler air= more power), and the air entering doesnt have to get compressed by the hot rotors in a sc which makes intake temps lower..
That is irrelevant to this conversation as there are way too many variables when you start negating differences as these (such as specific compressor efficiencies, ambient conditions, and intercooler efficiencies.
Once you start boosting that air moves through the system very quickly and stagnant air is quickly gone.
Lets keep all external variables equalized for the sake of sanity and the basic principal behind this conversation.
Back to the premise:
Assuming the same AFR, you will need X amount of air to make enough combustion pressure to make 500hp at the crank, regardless of how its made, or how much makes it to the wheels.
500 crank HP is 500 HP crank HP and requires the same fueling turbo or supercharger, how efficiently its used is a different conversation.
Fuel demand for 500 HP is the same given equal AFRs and air mass.
The computer does not care if its a turbo or a supercharger.