First of all, some or much of your premium is a wealth transfer (from young and healthy to old and sick). So consider that portion a tax (it literally is, just not collected by the government directly):
https://news.ycombinator.com/item?id=45800973
https://www.cms.gov/marketplace/private-health-insurance/mar...
https://www.healthcare.gov/how-plans-set-your-premiums/
>what exactly did they contribute to the transaction
Obviously this varies based on personal experience, but the biggest benefit is usually covering the big expenses beyond the out of pocket maximum, such as premature babies, bypass surgeries, cancer treatments, hemophilia treatments, etc stuff that costs hundreds of thousands and millions of dollars.
Second would be negotiated pricing with healthcare providers. If you think you can do a better job negotiating, you are welcome to not pay the health insurance company (better referred to as managed care organizations), and see what kind of deals you can get.
Third would be services as an agent that knows something about healthcare to be able to discern necessary and unnecessary care, since most buyers are unable to discern that information. This is, of course, highly subjective based on personal experience and the lack of government audits here leaves much to be desired.
>how much should I want to pay
When you have 7 publicly listed managed care organizations along with numerous non profits such as the various BCBS and Providence and Kaiser Permanente all selling insurance at roughly the same price, it's sufficient to conclude prices are about as low as they can get in this business environment.
>A measly 2-3% for adding no value and creating friction, egregious, we must get the profits higher!
This sentiment really doesn't make sense, unless the goal is to just be outraged for the sake of being outraged, because it has been clearly shown that there aren't much profits to be had in the first place. It's such a shitty business that one will end up with more money by investing in SP500.