As to your humanitarian point - this can also be addressed with more nuance. A patient can explain that they are coming from a situation where they couldn’t get vaccinated. I don’t think it’s fair to prioritize the treatment of intentionally unvaccinated Covid patients who believe doctors are a part of a worldwide conspiracy. It’s a difficult ethical question - but we have to answer it nonetheless.
If people delay vaccination in fear of health consequences, of course they will also be extra careful about avoiding contagion.
If people delay vaccination for other sensible, defensible reasons - I cannot guess them. And I do not want to get inside the pit of the "it's all fake" minds. Even today I had to listen to a mate stating that "only the already compromised got killed" - many of "my" dead were very healthy.
do not assume there is one tail only.
Remember that one side is louder than the other: do not be fooled scouting by noise. (Nor do commit fallacies of generalization at rights - responsibility is on the individual.)
Anecdote: you tell me? The day before posting that - which already contained other anecdotes - this nice guy went for a takeaway and an unknown fool, the wrong tail of cheeky, started smiling and fake-coughing - owner reported he did that whenever he saw anyone wearing a mask. Is that the end of the pandemic? Because the nice guy saw the same at the early beginning: fake-coughers at the supermarket, mocking those who seemed to want to stay at a distance. She, almost twenty, kept herself coughing smiling and almost adhesive (well, it's nice guy involved, what else can you do) at the counter. The boyfriend went along but while leaving went "Well, on the other hand, when it's full of people...", in a sudden strike of reason. And nice guy looking and the sky thinking, the are so foolish they do not remotely guess that I kept at a distance especially because I had to attend to business, hours before, in the biggest epicenter city of the epidemic. Now: if society thinks that combating and preventing foolery is not a priority...
edit: To be clear, I don't know what the distribution looks like either, but I'm not assuming the average unvaccinated person takes other precautions. I don't think we can confidently say that.
I did not. I am stating: one can not assume that the set of the unvaccinated who take strong precautions against the infection is negligible. As I wrote, it would be irrational: those who are hesitant about the vaccine for health reasons must also be very wary about being infected - plain logic. Many are are hesitant about the vaccine for health reasons, so they must also be very wary about being infected, if not insane.
I would not call what I have made and again follows 'assumptions': positively both tail exist, that is easy to prove (as above. We do not need to prove the other tail, it is evident and loud). I do not know what benefit is brought by drawing proportions. I am not sure what gain we get by assessing the average.
In fact - but this brings us elsewhere -, I am already extremely diffident towards the opinions of the average. I believe by experience that the distribution also of intellectual resources is in general paretian. I start already by believing that Average Joe and Median Jack "will be a mess". But of course, given that, I also insist that the average and median cannot be representative of the whole.
So, for example, calibrating policies on the median would be a Procuste's bed for the healthy part. "Please open your purse Sir, and let me check your items: the median customer is a shoplifter" - I am very wary of this kind of perspective, I have met it instanced many times in my life. This is also in the area of what I meant with «fallacies of generalization at rights».
As for the other half of your proposition, I can see why it might seem appealingly logical - why should people who refused vaccination be entitled to medical care? - but I think it's ultimately inhumane. You don't know why they're not vaccinated. Maybe they weren't even offered it. Maybe they were in a disadvantaged life situation - there's a suspicious correlation between economic class and vaccination rate. Maybe they were prevented from getting it by oppressive relatives or partners. Maybe they were just being honestly cautious, and badly misjudged the relative risks. It's not fair to condemn people to death for those things.