

Oh, I agree there’s plenty of pros and cons to talk about regarding a capitalist economy. There’s also plenty to talk about regarding the form capitalism has taken in our global and local economies. However, that’s for the other discussion OP mentioned. This one is only about defining what capitalism is.
To that end, and in regards to your critique about parasitic owners living off the labor of workers, I’d like to pose another question: Does a capitalist system require workers and employers?
I would say no. It’s entirely feasible for everyone in a capitalist society to produce and trade their own sprockets. It would be up to each individual to either inherit a given trade from someone who’s retiring, or else find something society needs that they can fulfil. Our current use of capitalism may largely contain organized businesses built on employer/worker relationships, but that’s not a defining trait of the system.
The cost and price of sprockets is also not a defining trait of capitalism. You’re free to set your own price on any sprocket you own. You could ask for a handful of dirt as payment, or you could ask for the literal moon. Is the moon a fair price for your sprocket? That’s debatable, and largely decided by your consumers
I get the sense I’ve touched a nerve here. Though I’m not sure where.
I would like to mention I never suggested the frustration comes from workers not being able to own anything at all. Though I still believe what you said about workers not being entitled to the direct consequences of their labor is flawed. Similar to someone saying “I spend all day pulling oil out of the ground, but I’m not allowed to own any of it”. That’s a fair complaint, and I’d suggest any oil rig worker who wants to get paid in oil should absolutely negotiate for that with their employer. What I was trying to explain is the “direct consequences of their labor” is the compensation they’re paid for providing said labor. You, as a worker, sell your labor for a price, same as any other transaction. If you will, your “sprocket” in this situation is the labor you provide.