Actually guys, incidence controls what angle the rest of the airplane flies at when the wing has assumed whatever angle of attack it needs to resolve the pilot's input.

It's written in stone. The words are chiseled into the stone tablets where the aerodynamic words are writ.

We often see models act in ways that seem to refute those words, but what we see is often a temporary response that'll balance out if we give it time. For example, an airplane with lots of downthrust and a powerful engine often will climb with increased throttle. If only throttle is changed and there is no further pilot input, that airplane will level out at a higher altitude when the drag and thrust balance out. And the airplane's pitch will be very slightly changed by the new AOA the wing will have assumed.

The increase in engine power will have given an increased altitude and the change in speed will cause the wing to assume a flatter AOA.

We see our models' immediate response and make assumptions. They may be right, but often are not.