By the true definitions though, the only system that works is blended between government control and free industry.
Giving government total control over the economy is foolhardy and will always lead to a strong man dicking everyone over in any large country. But giving industry total freedom is equally unworkable. There is no total free market, nor is there any completely government controlled one to speak of.
OP is conflating free market absolutist self serving arguments with capitalism, as if socialism wasn't still capitalist. You better fucking hope it is, you can't have the government involved in everything, but they need to be involved in making sure the needs of society are provided for equitably. If private industry can't do it on their own, government needs to one way or another.