See this paper
Summary:
-Anything with a significant redshift due to the Compton Effect would have significant blurring since it would be scattered from off-line of sight (the Compton Effect is dependent on scattering of photons).
-Compton Effect predicts z proportional to 1/wavelength whereas the cosmological redshift shows no such dependence.
Therefore, we should not conclude that the Compton Effect explains the redshift-distance relation.



