Yes a business usually consists of people and is driven by profit, you sted the obvious, but what is your point?

Do people buy their vacuums from Dyson Ltd. or from a guy named Kevin?

It’s not just about profits, it’s about accountability. That’s what the different forms of corporations represent. A singular private person can’t and shouldn’t be held accountable for every product the produce. A business is a layer of protection of limited (Ltd.) accountability. How could anybody be motivated to invent or produce anything if a single miss use of your product that causes any harm (intended or not) could lead to you directly being held responsible and possible going to jail. A business on the other hand usually has limited accountability but is also held to a much higher standard of quality and proof than a private individual ever could.