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It may turn out that the only real advantage Ducati has, is that it uses the fuel better than the others. It is not so much the peak power, it is the fact of making the same power using less fuel, or more power using the same fuel. Remember the stories about hidden reservoirs one year ago?
Ok.. How can this help Casey so much, other than down the straights?
I read an interesting suggestion in another forum: Casey is a dirt-track or flat-track (or whatever it's called) kind of rider, meaning he uses the throttle to turn the bike into the corners, cutting the dead gap between braking and acceleration. Now, the interesting observation is that while this style may be advantageous, it does use more fuel.
Look at Nicky Hayden - he also likes to ride that way, but on the Honda he can hardly do it. Have you seen Pedrochio's Honda being pushed to the paddock on Sunday, out of fuel? Remember Phillip island last year, when Hayden had to stop for unknown reasons when he was keeping Stoner's pace? It's not always obvious or so visible. These bikes are smart, they automatically make the mixture leaner if their ECU thinks the fuel is not going to last the distance... So you may still run, but slower.
So this is where Stoner's style and the Ducati may match so marvelously... At least it does explain something. It's all speculation, but sooner or later we'll know for sure - because there IS always an explanation other than supernatural powers