For most health insurance products, the employer is paying the bill and the insurance company is only managing the transaction, so they really dont care about the price/premium etc.
It is in their financial interest that the medical bill/size of the pie is as large as possible. Ex: if you work for apple, apple pays your medical bill, and blue cross etc just manages the transaction and takes a commission. There are products where the insurance company takes on some risk/capitation, but majority of health care is paid by employers.
This is why both insurance companies and hospitals are so opposed to price transparency! It is a misconception that the business model of medical insurance involves collecting premiums and then trying to save money by paying as little as possible for medical expenses. Some capitated/hmo products work this way, but not the bulk of medical insurance.
here is a great podcast with vinay prassad where he makes that point at the end
“The more you practice medicine, the more you realize that it's an art. . .You're going to have to make decisions today with less than perfect information.” —Vinay Prasad
peterattiamd.com