Isn't the argument that we are having on this is how much an economy is mixed compared to socialist. Heritage has Iran as 155th on economic freedom
Most of the world's economies are mixed economies, on a sliding scale that ranges from capitalism (in the free market sense of the world) to communism at the endpoints. The discussion really should be about where on the scale any given economy is. Very few countries are at the extreme itself, such as North Korea.
In theory, if we were being more careful with our language, we'd see which countries are closer to either of the endpoints and compare how they do to countries on other places on the sliding scale.