No it wouldn't. Hospitals bill whatever they want because they can. They have ridiculous overhead to pay for, depreciation on the most expensive hospital equipment in the world, high salaries, etc so the costs of simple procedures are going to be high. That being said, they bill whatever they want and the insurance side pays them what they thing is acceptable and the hospital typically accepts it. I had a minor routine procedure where I was on the operating table for about 15-20 minutes. The hospital billed like $95,000 to the insurance company but my insurance company ended up paying only $5,000.
Source: My dad has been working in hospital contracting for over 30 years. He deals with this stuff everyday. He has worked both on the hospital side and insurance side and negotiations rates up or down. A couple months ago he negotiated a hospital bill from UCLA from around $5 million to about 1.2$ for a 60 day stay at the hospital.
If you contact the hospital about the $1.1m bill, and tell them you are broke and can only afford to pay $10,000, they will accept that. Hospitals know some people will no and cannot pay, which is why the costs they forgoe on OP is builts into the insurance premiums for everyone else. Everyone else picks up on the tab.
At my dads old job, they lost SO much money because illegal immigrants would come in, get service, have no papers, and end up not paying. The hospitals took a huge hit which is why their costs are built into the premiums of everyone else. Wonder why it costs your insurance so much for a short as visit to the doctor? It's because we're all responsible for the people that don't pay.
The system is far from perfect, but it's not as fucked up and the average redditor believes.