

What?
Government funded and administered health care systems being a form of risk pooling and insurance are not controversial ideas. These are standard definitions.
I’m not sure where you’re getting these ideas. Why would taxpayer paid services not be a form of risk pooling? There are hundreds of countries around the world with government run health systems, or government funded and privately run systems, or private-public partnerships in various forms. Pooling taxpayer money to fund health care for those individuals unlucky enough to need it absolutely does make it insurance.
I recommend reading the Wikipedia pages on “universal health care” and “health insurance” if you’d like to start learning about these topics.
I’m an academic statistician who discusses risk and related concepts with experts every day…
Just curious, and I’ll admit it’s too my discredit that I’m even engaging, but why are you behaving this way?