It’s really quite simple. No member of government administration would be raking in tens of millions of dollars in pay. They’d be in the lower end of six figures, at best. Even the President only makes $400K per year. There is also the money that is not being redistributed to the investors in dividends.
The problem with private health care is that really adds no value to the economy. It’s a middleman job, and at volume, it just soaks up a lot of money that could be spent on surgeries and medicine. Profit-seeking incentive, in this case, only causes less to be spent on actual medical care, making it less efficient.