@Hyolobrika The members of a cooperative are capitalists, in the sense they are a group of private individuals who own the means of production! There are many possible forms of capitalism, defined as private ownership of the means of production (and even more possible forms of a mixed economy).
@Hyolobrika If you define capitalism on the basis of emergence of a class of passive income recipients, people who earn without labor, then a system with only syndicalist cooperatives would not conform. There are challenging questions about how such a system would work in practice, but I’d sure love to see more experimentation.