In the UK, you can pay more (say 30%-40% the cost of a US health insurance plan), get treated like royalty in private care, skip all the lines for specialists, still be covered by the NHS to pay 0 for anything catastrophic, and still never get a bill in the mail from anyone.

It's not an either/or situation. The US has the least efficient healthcare system of any country in the world. It provides less treatment per dollar than anywhere else. You can provide universal basic coverage and still provide luxury insurance plans.