Only a vert small fraction of covid hospitalizations are pure covid. The vast majority has comorbidities, notably obesity. Where does your trolley thinking lead now?

A lot of people have comorbitives, yet unvaccinated are vastly overrepresented in hospitalizations. You changed nothing. You raised a variable that's independent of vaccinations.

The trolley problem is unchanged.

This does not make sense. Fewer obese people means (much) fewer covid hospitalizations and fewer hospital beds occupied. There is a clear causal link from both vaccination status AND obesity.

X% of people are obese, Y% of people are vaccinated. An extremely outsized portion of hospitalizations are unvaccinated. Are you saying that obese people are more or less likely to be vaccinated? Otherwise, it's irrelevant. Yes, hospitalizations likely skews toward obese people, but what's relevant is whether they are vaccinated or not, and clearly most (hospitalizations) aren't.

Let's take the Australia example in the thread. 92% of population vaccinated, 50% hospitalizations are unvaccinated. Unless there's a claim that obese people are less likely to be vaccinated, you would free up every other hospital bed by everyone getting vaccinated (minus the portion still going in, which here would be a ratio of 0.5 x total_beds out of 0.92 x population of those 8%).

Yes, if less people were obese there would also be less hospitalizations, but that's an entirely separate problem. Maybe if no one was obese you would halve (as an example) the number of hospitalizations again, but that's much harder than getting a needle.