You are correct, I forgot about this type of compressor. You are correct, again. I just remembered who brought it back into the catagory of those things which crate a supercharge of air.
You did mention the most commonly used compressors, I don't see too much to quibble about as you wrote a very concise post.
There was developmental work with superchargers in F1 in the '80s, but without success. Most superchargers are nearly silent, although certain types can have a rather annoying whining sound (think redneck). At least with turbos we can hear the jet-like turbine sound, although I think they still have work to do to improve the actual engine sounds.
Superchargers are mostly pre-WWII technology, where turbos are post-war technology. Turbos are more efficient than superchargers, which take flywheel power. Interestingly, some pre-war cars didn't use their supercharger constantly. The supercharger was engaged by the driver and had a clutch. Constant use would have threatened the longevity of the engine and brought too high fuel consumption. The Mercedes had that system, and yes, they did whine! The centrifugall superchargers fitted on the F1 BRM V16 and Winfield-Novi Indy car put much stress on engine internals and enormous fiel consumption. They were also difficult to regulate.
