I thought the supercharges were belt driven and turned with the engine. I still am 100% sure that most, but not all, of the noise that people hear comes from the supercharger. I bet ya 44 million dollars.
I'm not sure why, but I remember as plain as day, that all of the magazines complained about the racket that the supercharges made, especially when cold at start-up.
2001 E430, Bourdeaux Red, Oyster interior.
1973 280SE 4.5, 170,000 miles. 568 Signal Red, Black MB Tex. "The Red Baron".