Hospitals don't want people to "pay themselves" when they can bill insurance companies 10x as much.
Pricing is usually done as multiples of what Medicare pays, so insurers will build their network and usually have a cap at 2x Medicare. If you are taken to an out-of-network hospital during an emergency, the hospital can charge their regular prices, although this usually gets negotiated down for extended in-patient stays. As an uninsured individual, however, you would be liable for the complete amount, which is a lot more than what the insurance pays.