Fyo, I don't see Banias as a contender for the desktop performance crown, at least not with the current features. Add Hyperthreading, an 800MHz FSB, and dual channel DDR memory, and then you might have a different story. Of course, once you do that, the CPU is not low power any more.
There is also the issue of frequency scaling. Pentium 4 will always hit higher frequencies than a Banias core, and in some applications, that will always offer an advantage.
I think the one place where Banias will have the performance crown is in mobile applications. In order to compete here, Intel must scale back the Pentium 4 so that it is lower power. You will not see 800MHz FSB parts. You will not see the same frequencies on desktop at mobile power levels. You probably won't see Hyperthreading until later, either.
So Banias will outperform Pentium 4 here, because it's better suited for low power. It does not need to be scaled back quite as much to deliver the same power levels.