I don't need that narrow definition, as the definition I'm using is "...private individuals OR companies", so no companies are required.
Are companies necessary with capitalism? Not per the definition. They CAN be a part of it.
There were TONS of "profit-motivated" Romans throughout their economy. I think that the definition you used from Wikipedia means that Rome was capitalist, as private property, profit motive, competitive markets, commodification, and wage labor were all a part of Roman civilization, and not a small part.
Centurions could own land and were paid a wage, etc. All existed under Rome.
Thanks for your answer, I am very familiar with Rome and at least I know where you're coming from. In spite of your initial comment, I've read quite a bit about pre-1800s civilization. Perhaps more than you regarding Rome, as revealed by your response.