kinda sorta but not really. it functions nothign like a radiator, even though its made out of similar stuff.
basically, the compressed air passes through it- and the wind from you driving cools it down as it goes through.
now- with a supercharger, the compression happens right at the intake manifold and goes straight in, thus making piping or anything really hard to work in.
your point about running it before the 'charger-- its pointless. its not about cold air- its about cooling the hot air.
superchargers and turbo's make power by compressing air. heat is a byprouct of compression. so even if you are feeding it cold air, its only going to get hot when it is compressed.