I think in healthcare, there is a problem with profit as a motivation, at least insofar as the ability to receive care. I think healthcare professionals should be paid, and paid well. But a for-profit company (or whether or not one can pay the premiums or deductible of any insurance company) should not be a gatekeeper to whether or not one can receive care at all. Inevitably, someone will be left out in the cold, or will end up paying inordinate amounts to receive care due to bureaucracy (or malice), as has been experienced by people elsewhere in this thread.
This is why I believe single payer healthcare is generally the best solution.
However, in the current situation, I think this idea to create a healthcare company dedicated to serving their employees, "free from profit-making incentives and constraints," is a great idea, one which I hope others will attempt if it ends up a success.