I think this shows two typical American fallacies.
1. An severe under appreciation of the extent of European Healthcare provision. Almost all of what you cited as increasing American costs is already included in European State healthcare, there is currently a scandal over the fact that English (but not Welsh or Scotish) pensioners are required to pay for their own care. The assumption is that the English situation should be better, not vice versa, in order to redress the balance.
As another example, my father, a poor 59 year-old bus driver, had his apendix out on Sunday. He is now back resting at home, having payed nothing, and the whole thing was done with no hassle. His only complaint was the food.
2. That the principle of "equality of opertunity" should apply to healthcare when most of those who need it (the young and the old) have no opertunity to ever improve their situation. If I said that "equality of opertunity, not equality of outcome" should apply to policing you would say the system was corrupt; yet you advocate exactly this concept with relation to your nation's basic well-being.
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