In all fairness, the concept of owning things isn’t unique to capitalism - it’s Personal property vs. “Private” property. Whether it’s money or bartering, the things you bought you own via your own hard work, and that’s your personal property.

Private property shouldn’t be a thing. A corporation shouldn’t own anything - there should always be a person on that contract that can be held to account. If you want to profit from your enterprise, you should be prepared to go down with it.