Universal healthcare doesn't always work that way though, it's just basically the idea that every citizen is guaranteed some minimum standard of coverage. For example in Japan there's a mandate that all residents are required to have health insurance, but most people have it through their employers. It's not single payer or socialized healthcare. In many countries there's a mix of private and public and a portion of the population is covered by a system like you're talking about, like in the US with Medicare and Medicaid.