...okay, i've just done a bit of googling - here are dyno comparisons of the 225HP 1.8T and the 220HP 2ZZ-GE SC...
Audi TT 1.8T 220
Lotus Elise 2ZZ-GE SC
...no suprise that the toyota is a lot more rev-happy, reaching its powerband about a thousand RPM later but carrying it fifteen hundred RPM further, too...of course, the dominant feature is the difference between turbocharger and supercharger torque curves - the former fairly peaky down low with a lot more on tap, but steadily tapering down until it drops off around 6750, the latter nice and flat but with nearly twenty percent less pull against the turbo's peak...
...the big question then is how broad a powerband do each offer, not in absolute RPM but in relative ranges?..the 1.8T offers 4K within starting at 2750, for a range of about 2.8X the speed at which one enters its powerband (20% of peak torque); the 2ZZ-GE revs across 5K starting at 3500, for a range of about 2.4X the speed at which one enters its powerband (13% of peak torque)...
...basically, this tells us that the 1.8T caters 15% better to lazy shifting, but the 2ZZ-GE SC offers 50% smoother throttle response in turn...really, though, neither of these are attributes of their respective motors
per se, they're really just artifacts of a turbocharging versus supercharging - so we're back where we started, without a good authoritative comparison of each motor's capabilities...
...would someone else care to take a different tack on it?..