The normal range of engine increas in power output is 12-35% (0.3 - 1 bar), not 100% and it´s directly contected to the fuel-air mixture, this is the first benefit. The second benefit is (surpris) the low fuel consumption .. one can wonder why? hmm

This is a rule: The turbo has a workingrange between 3000-7000 rpm and the supercharger works from 1000-5000. The differens in range makes me whant them both. A supercharger for the lower rpm´s and a turbo for the higher rpm´s. There exists a third combination where a supercharger and a turbo is one part, but this is not a personel favorit.
So, depending on what one are looking for, the usage can eather give you one or both advantages. Both is normal if it´s used visly!
A good engine has a hemispheric burningchamber - halo sparks - turbo & supercharger - cheramic coating and HHO fuel. This is on my wichlist
The Mighty Engine has many advatages the pistone engine doesent, but it´s not comerciel yet, so will se when that happens if it does.