Yes exactly. In my country (Australia), the majority of employers don't pay for health insurance. Either you rely on the public health system, or you pay for private health cover yourself. So, losing my job, or changing jobs, has no direct impact on my health insurance (beyond the impact on my ability to afford private health cover if there is any reduction of income)

It's also worth adding that the public health system is pretty good, or at least better than some other "first world" countries.