Rationing of Health Care?
This clever trope is deeply misleading and trades on an equivocation. The distribution of scarce goods is not always "rationing." When the state takes over anything, it rations by coercion. People in charge make decisions that are the final word.
No, health care is not perfectly implemented as it stands, but we have a relatively discentralized process that is not subject to top-down abuses. Please read this essay on that topic.