Health systems operate by prioritizing, via an imperfect system, patients based on need. If you run a red light and slam into another car, but you're more injured than the other person, you will be prioritized even though you were culpable. I think that is the appropriate, ethical, and practical approach.

However, the calculus changes when the health system is at or over capacity. Now, if two people come in and both are critically ill, but you only have room for one, I'm ok with choosing the one that was vaccinated. Likewise with many other situations and illnesses. If you cause a car accident, and both you and the person you hit require the ICU, but there is only one spot open, I'm ok with the person that got hit getting the spot.

Now, I'm assuming you are jaded like me and know that actual answer is probably the person with the most money tends to get the treatment, but that's another bitter, cynical discussion.