Just out of curiousity, I plotted this dyno table's torque and horsepower figures into a graph.
(it's gerald san agustin's Twincharged MR2) 376 peak power...
And then re-plotted this graph of a relatively mild T3/T4 Turbocharged AE86 against the TWinCharged MR2's torque and hp lines...
http://sdsefi.com/features/aug03corolla.htm
The MR2 produces MORE torque and More HP ANYWHERE in the powerband.
Just for further proof, I even plotted a Cusco pulley'd SC.
(Mr. Lofthouse's MR2)
AE86 with relatively Big Turbo vs. stock-ish SC.
-The Cusco pulley equipped SC MR2 had no other mods but good ECU tuning with the Techtom, yet it produced MORE hp and More torque than the T3/T4 equipped Corolla at anything below 5000rpm.
-The largest difference in torque occurs at 3000rpm. (a 50lb/ft difference)
AE86 Turbo only VS. Gerald's Twincharged MR2.
-The powerband in the MR2 resembles that of a V8. No sudden dips and no sudden rises. From the bottom portion of the powerband up to the power peak, it took off very steeply and linearly.
-The T3/T4 equipped corolla by comparison had a less than even powerband. Below 5 grand, the slope isn't very steep, and above that, it just took off all of a sudden.
I also have researched twincharged systems a bit and for it to really work, 2 things are necessary: an SC switch-off at higher rpms, and a Bypass valve. I suppose you must add to that a really good standalone.
So just looking at one very good example such as Mr. San Agustin's (former?) MR2, with enough time, patience, and understanding of how to move switchovers around (when to open BPV and when to kill SC), a really nicely tuned twincharged setup will outdo any turbo system for a kickass powerband.
Even with Ball bearing turbos and more efficient compressors that can move spool time a few hundred rpms earlier, the low rpm tractability of a roots type blower will always win. I suppose you just have to find the sweet switchover spot.
Plot the points and see for yourself!