Private co-ops are not socialism on a macro-scale, but actually part of capitalism. You just have ownership via the co-op, kibuttz or group of people, workers, whatever, running the entity.
So if it works, it falls under "capitalism" and if it doesn't work, you categorize it under "socialism".
Socialism is state ownership and control of industry. People gettign together to compete in a capitalist system, just because they are the workers forming a collective to compete, is not socialism. That's just another capitalist entity.