> How can someone look at healthcare, with its absolutely absurd outcomes, and not understand that it is precisely because of government interference that nothing makes any sense?

Because they see how much of the mess is the markets fault. They also see how nearly every other first world country has a working system while spending less on healtchare. In some places its private non profits subsidized and regulated by the government, in some its the government providing insurance like in Canada, in some it's really socialistic and government employs most doctors like the NHS. In each case the system works much better then the US and the US system is rightly considered a bogeyman. I'm unaware of any place that works like you've described