If you want to go DEEP down the rabbit hole and escape the Communism vs Capitalism tropes, I'd got the video for you. Strap in!
Discussion
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An oversimplification would be that you give the people who actually make stuff significant power. Not the managers who tell others to make stuff, not the marketing team, certainly not the politicians, but the real producers: farmers, steel workers, mechanics, and so on.
They're unlikely to outsource their own jobs, take a pay cut so some fat cat can make more loot, or skimp on quality.
Couple of notes.
The anarchist of that time held different beliefs than a modern anarchist or agorist usually would. Any critique of those positions was of the older positions not current thinking.
The praise for labor unions also comes from a very different type of labor union than we have today. At that time your union rep had to come to you on the factory floor and ask you face to face for your dues. If you felt the union hadn't earned them you could tell him no. If you declined to pay your union member status and job were not terminated like they would be today. Union membership was not mandatory to work there. Your dues were not taken out of your check by the company automatically.
This means that the unions that these thinkers described were much more rooted in voluntary free association than a modern union. Based on unions at that time and not current ones, union based organization of society is very much in line with the thinking of current agorists.