I'm in the UK so we don't have "medical bills", the hospital doesn't have a billing system. There is one they dust off for international patients, and there is internal billing between regional and local organisations, but these bills aren't attached to individual patients. Edit: to be clear, this is unlike most European countries which still have multiple health insurance providers, but the health insurance is almost entirely government paid. The UK doesn't have health insurance, the government directly funds and runs the healthcare providers.

Still the insurance needs to cover loss of income, private care when NHS care is not fast enough, and "general damages" ("This covers the pain and suffering you have gone through and the [non financial] impact the injury or illness has had on your life")