The resulting life is slightly different if the load distribution on a race is stationary or rotating. For many bearings, the inner ring rotates relative to the load and the outer ring is stationary to the load. This is the case if the inner ring is connected to a rotating shaft and the load is stationary in space.
What is the correct input, if only an axial load occurs? In this case, the input doesn’t matter since the results are the same for both settings if all the rolling elements have the same loading.