So you are defining an ambiguous term in order to better criticise it? That makes sense, but it might not convince people who have different definitions ๐ค
Like I for example would consider a Co-Op where the employees own the company / have voting power over how its run to be a part of a capitalist system, hell, I'd even consider someone who makes a living as an artist where they own all their tools to be a part of a capitalist system... although I suppose that could also be considered socialist to some degree because the artist "owns" the means of production?
These definitions are kind of difficult to use...