I believe that Medicare is a program where the Government spends humongous amounts of money paying the bills of the qualifying participants who go to physicians of their choice who are willing to wait three to six months for the Government payments. This is part of the reason it is filled with corruption and abuse and headed for insolvency. It is hardly a Government run program than a government handout to those who initially paid in very little; in other wards, a re-distribution of wealth which is headed for bankruptcy.
Now, you are free to share some credible links that would suggest that Government has lower overhead than insurance companies and I will take a look at it and get back to you. Until then, this is just another, "because you say it is so."