Swiss here: Our health insurance providers might be privatized, but they're strongly regulated and every Swiss citizen must have healthcare. They do function, but not because of their free market incentives (my opinion), but because of strong regulations. Also, if there was a vote to go from public -> private insurers again (historically, they were public once), I think they'd stay public, because we're not really seeing the benefits of their privatization, only the downsides (tons of ads, calls, arcane coverage rules etc.)