The system I am describing has full private ownership. I am not taking the socialist position of collectivizing the means of production. Capital can be privately owned including by individuals. For example, an individual could own a factory and rent it out to a worker coop.

Key inputs would have more value. That does not amount to more fruits of labor because by fruits of labor, I mean the literal property rights to the production output and the liabilities for the used-up inputs not the value