It depends on how radically the bike with the broader power band made its power. If you have a power curve that skyrockets from 2000 RPM straight up to 8000 RPM before it starts to level off, thats going to be a very difficult bike to ride, especially from a dead stop launch. It might make more power but controling the power is the key.
As far as where the bike makes power, for straight line racing, Ill take a bike making more power near the rev limiter, than one that made its peak at 8 or 9 thousand RPM and started dropping after that. Even if it made more peak HP.
Its a common misconception that you want to sacrifice peak HP at redline for more power at the mid range. That mentality comes from road racers that are always on and off the throttle going in and out of turns and theyre constantly accelerating from the mid range of the rpm band.
For straight line racing, I dont care what my mid range power is like. Im only gonna be in the mid range power band for one gear, after that, its all shifting near the rev limiter.
The picture below is a crude example of a dyno sheet with different power curves. For straight line racing, Id rather have the red bike. Sure the blue bike makes 25 more peak hp than the red bike, but it does it all the way back at 7500 RPM. At the rev limiter, its making 25 less HP.
Heres the scenario. Both bikes line up to race from a dead stop for one straight mile, all 6 gears.
When they launch from first gear, the blue bike pulls hard but has to bobble the throttle to keep from either spinning the tire or flipping over. The power curve is sharp and aggresive, hard to control. The red bike is pulling smooth and predictably all the way to the rev limiter, easy to control. For the sake of the discussion, lets assume the blue bike pulled ahead by 3 bikes though. Now when they hit second gear, thats the last they'll ever see of the mid range power of either bike. Assuming they shift at 11,000 RPM, the revs are gonna drop back during the shift to lets say 9500 or 10,000 rpm on a quick shift, then they climb back to 11,000, shift to 3rd, back from 9500 to 11,000, shift to fourth and so on till the race is over.
So, after 1st gear, the blue bike never got to take advantage of its higher HP because it was all the way back at 7500 RPM, not where he was shifting at. From 10,000 to 11,000, the blue bike was actually dropping in HP whil the red bike was making more and subsequently pulling away from the blue bike.
class over