I think this is what OP is getting at. Its a question of maximizing the number of saved persons vs saving the individual. Mandating vaccines is a case of choo

I think this is what OP is getting at. Its a question of maximizing the number of saved persons vs saving the individual. Mandating vaccines is a case of choosing to maximize numbers over saving a person. You might say they are the same thing, but they are not. Mass vaccine administration is done in order to save as many lives as possible, as in to reach a high score, a number. The other, which is no mandate, but with optional vaccination, is provided in order to save the individual person, not necessarily to reach a high score number. And that is to me inherently what the ethics of the trolley problem was about. Given the option, do you treat people like numbers or do you treat them as individuals?