The question to answer is what do you want?
Do you want big-time torque, right now, at the stop light? Then a Roots or twin-screw blower is what will get it for you. And you will make power all the way to the redline.
Or do you want the most power you can get at the drag strip, with high-rpm launches? Turbos will fit that niche. But at the cost of power and response down low. Today's turbos are better than ever, but there is no escaping the fact that until it is under boost, power and response suffer. Maybe not much, but in comparison to a positive-displacement power adder, yes.
From an engineering perspective, turbos make more power, more efficiently, than anything else.
Jim Snover