I think you are confusing laissez-faire capitalism with freedom. In this particular case the insurers had the task of operating a risk pool, but no incentive to allow any but the lowest risk customer into the pool. Freedom was harmed overall, as a significant number of people had no viable path to medical care.
There are a good number of people who, like you, would feel less encumbered if they were able to live on an island without any civil services and thus without any burden to pay for their fellow man rather than themselves. My surmise is that few of them would survive very long. However, I would encourage you to try if you are able to find such a place. Go ahead, prove me wrong.