I don’t mind the over-generality very much. People do sometimes say “if I were orange I’d be a doctor”; it’s a bit silly but unless you actually plan on swapping via Miolee it doesn't matter much if your thoughts are vague. My objection when somebody says they'd be a small business owner if purple is “I’ll believe you if you *already are* a small business owner”. Small businesses exist in any caste; why would you think you’d own one only if you were purple?
To be fair, the small business model is more common in purple industries. You can start smaller if you sell raspberry colas from a cart or just show up at people’s houses on foot with a roller bag of cleaning supplies, and then gradually expand to hire your cousin for a few hours a week, versus if you need medical equipment and a way to sterilize it, or if you need twenty dance students to break even on the cost of renting a practice space. I needed a loan to start out, since I have an entire café, and my case is probably comparable to someone who gets a loan to open a daycare in the same amount of square footage, but not everyone goes that route. And if you work alone or with one collaborator, like some indie art greens, you don’t tend to call that “small business ownership”, even though it’s not that much different structurally from selling wooden spoons online.