your logic assumes the unvaccinated person is infected with Covid. Using that logic you are suggesting that an unvaccinated women who needed an emergency C section would be passed over for a vaccinated person there for a less emergent reason.
I can tell you right now if the mother and or child die in such a situation as that, the lawyers will wet their pants at the opportunity to sue everyone involved down to the custodian.
if you mean an unvaccinated person who is infected, then state that in your comment. Not every unvaccinated person has Covid when they go to the ER and some may have immunity as a result of a prior infection.
you’ve heard of unconscious bias I presume, perhaps you are infected by it.