"but under mild-mannered driving, in theory, more power should yield better mileage ."
My understanding of basic physics is that more power is the result of more air allowing the use of more fuel making more power. Even in mild mannered driving the supercharger is drawing engine power to turn, unlike a turbo that might return gas mileage equal to a non turbo engine of the same size when not spinning much (think of a V8 Cayenne, it gets about the same mileage as a V8 turbo in the gov't tests, where "stepping on it" is not a component). My guess would be that a supercharged car would always get a bit poorer mileage that a non-supercharged vehicle of the same displacement under all conditions, due if nothing more that to the parasitic nature of its operation.
Having said this, I will now retire to the drawing room to await the various and sundry reviews of my exuberant verbosity.