Not only talking about maximum power, the main reason that people choose turbo over supercharger is because the engine runs more efficient with turbo, although customizing a turbo system requires a lot more work. Supercharger wastes the engine hp to turn it while the turbo only deals with the backpressure. In theory, a supercharger wastes 20% of crank power. I'm not so sure about it, but it's a theory by those engineers. However, with proper sizing, the turbo will deal with the backpressure as a minor issue. Also, some superchargers make irritating whining noise.