No, it won't.
To keep it simple:
The formula for power is thrust x speed per unit of time. This in turn equals absorbed prop power which is (D^4)xPx(n^3) + a few constants to account for a number of variables, amongst which is the prop load factor.
At pitch speed of the airflow at the prop disk, the P(pitch) factor becomes unity, and prop pitch looses it's importance.