Is there a casual link with being republican and dying of covid democrats are immune to?

Should the CDC list party affiliation as a comorbidity and recommend Republicans reregister as democrats for the health benefits.

Of course not, because we know that there is a more direct causal link with not being vaccinated. We know that people in both party are not vaccinated, but more of the unvaccinated are Republicans (50‰ vs d 30% per your link)

Why attribute deaths and vaccination to party affiliation, when we know it crosses party lines?

If we want to really understand the "problem", we should look at traits that are associated with more than 50‰ of the unvaccinated.