In a 2015 paper [W. A. Perkins, Mod. Phys. Lett. A 30, 1550157 (2015)], Perkins argued that based on the composite photon theory (CPT), antiphotons should not interact with ordinary matter. This implies that antiphotons are undetectable by detectors made of ordinary matter, and hence that antimatter galaxies are a possible candidate for dark matter. The purpose of this short letter is to argue that this conclusion is highly unlikely, because of cosmological constraints on the density of radiation, the distribution of dark matter and C-symmetry.