I agree on the last point, but I'd say it's more like it works "acceptably", as in you do more or less get healthcare in some fashion. If you're a salaried professional and have good health, it's more or less ok, with some weirdness around changing jobs (which is getting more common). It does become a
huge problem still if you end up unlucky enough to have a major health problem earlyish in life, e.g. a congenital heart problem or cancer in remission. Then you in effect have to work for large companies to get into their group plans, be very careful about coverage gaps, and don't even think about doing freelance or a startup. It also produces weird moral dilemmas; for example, if you have a major preexisting condition and join a small company that offers health insurance, you may inadvertently be punching a big hole in their budget by massively worsening their employee risk pool from the perspective of the insurer (and the business isn't allowed to ask you about things like that before hiring).
The other big anger-relieving valve is Medicare, which removes a large proportion of major illnesses (anything with onset age 65+) from the problem space that private-sector health insurance has to address. If the elderly had to buy health insurance on the private market, or alternatively have their insurance covered via employer pension plans, I don't think the system would work at all, and there would be a lot more angry people (who vote at high rates).