The 2 files below prove that both axial and transverse shifts change the observed number of photons passing through an area and also the observed rate of information transfer.
It changes the number of observed photons going through an area of a light beam. It also changes the rate information is transferred. See the two attached files for proof. The second is a strong mathematical proof based on the response of Fourier series to chnge of all harmonics' frequencies. The first offer other proof.