Can we consider a few other possibilities? As in, taking the point of view of cosmology about 100 years ago, before the redshift was attributed to the Doppler

Can we consider a few other possibilities? As in, taking the point of view of cosmology about 100 years ago, before the redshift was attributed to the Doppler effect. And before the notion of a big bang was the default basis of reasoning. - What if H is just a measure of redshift? Literally just redshift. Not expansion. Not an age. Just photons losing energy. At a rate of H. - What if H actually is constant? Like G and like h and like k (Coulomb's constant). - What if the universe doesn't have an age? ^ not rhetorical questions. Actually asking.