It is a common saying that turbos are free power, but Its not actually free horsepower. However, it is a very efficient power adder. And there are drawbacks to turbos that aren’t there with a supercharger, ie turbo lag. Superchargers offer instant throttle response, but transmitting a hundred or more horsepower with a belt and pulleys wastes energy. Transmitting the energy with compressed air is more efficient ...if the piping is sized and bent correctly.
It’s just in most Diesel engines, instant throttle response is not a major concern. Efficiency and longevity are more important.