If the precise definition of the product is dictated by the government then what differentiation are the insurers actually providing that adds value to the equation. Right now insurers actually do do a fair amount of good work trying to assess treatment efficacy and ensure that their customers get the best outcomes within a reasonable budget. If coverage is standardized then they're just acting as a pool of money - cash goes in, it comes out, occasionally one of the pools will go bankrupt and catastrophe will befall a lot of folks - or else the government will step in and save it so... why not just let the government run it?
Insurer's roles would be marginalized to competing on doing just enough administration and estimating/negotiating cost/pricing.. They also would still have incentives to cut costs as they get temporary benefits of cost cutting until copied by the other insurers. It's not a lot but it is areas medicare has problems with (and pricing would get harder still without a reference private market) and retaining a private layer is more compatible with the politics of the US even when it is a pure cost.
HR people can only get numbers from a small number of insurers after an excessive amount of time and have leverage as weak as someone buying a new car.