Yes, with the proper size turbo or supercharger, and the right gearing, forced induction can increase efficiency than N/A on a gas engine. On the condition that it's used like a daily driver, the main point is to get you power in the low RPM range, which is something that small turbochargers, or fixed-displacement superchargers can give you. You do, however, need the taller gearing to match so that the low-end power can be put to use. If the engine lacks torque, you end up having to force it into higher rpm ranges in order to accelerate, and if F/I can help you circumvent that, then so be it.
With a diesel, power is largely controlled by fuel and not so much by air. But the thing is, while you can keep throwing fuel into the chamber and make more power, when you run out of oxidizer, you get incomplete combustion and black smoke... so forced induction can mean you can guarantee more complete combustion even up in higher load conditions at the same rpm. All diesel really needs to be viable in the US is good biomass and/or synthetic production capacity, and the adoption of urea injection to deal with the NOx emissions.