What's not to like?
No profit? I don't want to be cared for in a system where people are not trying to find ways of doing things better, faster, healthier, etc. Look around your world, how many products or services do you use in your life which were developed by non-profit motivated people? I can't think of any in my life. Even the internet which began at CERN has been vastly improved by profit motive.
A complete decoupling between costs and premiums. Premiums are set at a percent of your income. Does auto insurance work that way? Does home insurance work that way? This completely guts price signaling and lowers efficiency in the system. I want to be charged at a rate that reflects my actuarial risk and then be pooled into a group of similar people. I want to be rewarded for living a healthy life. I want to be rewarded because my parents choose well when they married. I don't want to be penalized for someone else choosing to live an unhealthy life or making poor mating choices.
The better solution is to do away with comprehensive plans and go to health accounts, with mandatory contributions, coupled with catastrophic coverage for the big ticket items.