I would imagine the overall health of people that can afford health insurance are probably very similar to the overall health of the people that are on employer provided insurance.
Nope. If the state runs what is essentially an insurance provider of last resort they won't get a random selection of people needing health insurance. Anyone who expects to have low annual healthcare costs who can get coverage through their work will do that, because for those people having their employer cover the vast majority of your premium is typically way better than having a plan with lower deductibles. However, for those who expect their out of pocket to be very high - say those facing HIV treatment, ongoing cancer treatment, long-term care for a premature baby with serious birth defects, or in need of a transplant, etc. - such a person would be significantly incentivized to switch to the government offered plan. For your plan, the most an individual with no coverage by the government would have to pay is about $10,700 a year, right? If I have hemophilia and I can spend $10,700 to cover ten or twenty times that ... guess what I am going to cheerfully do? Free money, baby.
What you end up with in such a case is a plan that may well have a number of healthy people covered by it, but has a disproportionate number of people with extremely high medical costs. That does not end well for your plan, but since I'm not on it I have no issue if you'd like to try it out.
Also, if the high-risk people would get regular preventative health care service, would that decrease their overall health costs. Couple checkups per year vs emergency room procedures.
Yeah, I'm sure that factors into it some, but I don't think the math works out into a slam dunk the way you expect it to.
I'm a bit jaded on how health care and health insurance is run
Me too, brother. But government isn't the perfect fix that some people seem to think it is.