Your name is syntax, but it seems like you're only arguing semantics. Those countries have lots of properties of both capitalism and socialism.
You can't convince me that welfare services like medicine or food programs aren't part of the "production or distribution of goods and services". The reason you can't convince me is because you're wrong.
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And your throwing up of straw men isn't proving your point either. Aside from that, I think I'll avoid getting any opinions on economic freedom from one of the most biased sources possible, The Heritage Foundation.