The National Socialists 2 generations ago would beg to differ. They had a nifty slogan, too. "Work makes you free" ("Arbeit macht frei")
The purpose of those camps was not to produce enough goods and services to subsidize the lifestyles of half the country. It was to humiliate and kill.
Now, I’m not saying that the left wouldn’t love to humiliate and kill all conservatives & Christians,
but such a program would not provide enough capital to support their dependent class.