If everyone has equal power, there’s no statist component.
Cooperative structures are not inherently more efficient, but Cooperative work structures would result in higher paid workers. The strawman about a lack of decision making in the Cooperative could easily be flipped, while the Workers are already producing, the Capitalists are figuring out how to extort their customers and workers better.
Communally owned property supports itself by virtue of being communally owned. If nobody has an individual claim to it, someone who tries would be contested by the community, hence its communal ownership.
You only have strawmen and vibes, no actual points.