Of course it will. This is the source of the problem.
The medical expenses gravy train is like a river of money flowing by. Everyone dips in and takes what they can - doctors, hospitals, insurance companies, medical supply companies…
The end user 8 times out of 10 is insured, so they don’t do deep cost comparisons. They go to the doctor or hospital their insurance will pay for, and take the service provided, and they often don’t know (and can’t control at all) what the final cost is. if the employer pays most of the bill, they are not too concerned about the cost.
The insurance company pays for the procedure. They could not care less what it costs. In fact the more it costs, the more money flows through their hands, and the more their share of the take. their only concern is to make a profit, so they pass these costs on to the employer.
People can’t easily get by without medical insurance, so they have to have the service; employers pretty much have to offer the service (and now, they legally have to). They have zero control over the level of cost of the service, unless it gets so expensive they cannot afford to pay for it.
People with no insurance simply take the treatment and run. It doesn’t matter if they get a bill for $10,000 or $100,000 - they can’t pay, the rest of the system chips in to pay for them, jacking up costs for all.
The only one that comes close to caring is Medicare. Like the single-payer systems in the civilized world, they have limited funds and ever-increasing demands. They do the same as Canadian systems, Britain, etc. - cut the amount they pay to doctors, hospitals, suppliers, etc. Plus, in Canada, they ration (although they claim they don’t), creating waiting lists to reduce the level of use. Unlike real health care systems, USA Medicare can’t work from a monopoly system to force things. (In Canada, if a doctor wants to work for the public, they pretty much have to accept the provincial fee schedule, for ALL their work.)
So there’s the problem - the people who get the service don’t really see the real cost, and the people who actually pay have no control over the costs or level of use. Nobody has both a strong incentive to keep costs down and the ability to vote with their wallet. The people who don’t fit into that category are the ones getting screwed.