If an unvaxxed person is spreading the same amount of virus, segregating by health status makes no sense.

"If," is an important word there. I don't know if your statement has any truth to it tbh. Intuitively, I would think that a vaccinated person with a certain level of immunity would be less likely to develop symptoms. That's kind of the point of vaccines and there is plenty of longstanding evidence to prove that. Plenty of viruses have been eliminated from the population (human and animal) through vaccines.

mandating the vaccine for employment

This is not what I'm arguing. I'm arguing the case of government employment insurance.

I see that you are from Denver so your situation is a little different in the U.S. than elsewhere because healthcare is mostly privatized - the individual pays the bill if they get sick or injured. Most other Western countries have universal healthcare though, which raises a lot of different questions (which I originally raised) and which should be discussedand debated. In a universal healthcare system the government pays the bill if a person gets sick or injured, which actually means that the tax payers pay (i.e. society pays). In such a community based system the individual does have some obligation to the community, I think.

I'm starting to wonder if this conversation is on topic to what you originally posted about?