Unless there's another dot-com bubble that happened 150 years earlier than the one I know about, I think you're pretty well wrong about the etymology.
Within the HN-bubble, people may define "startup" to be "VC-backed-startup, but the term does have a meaning outside of that bubble. I call my own company a "startup", and I have no plans to seek out a slot in an incubator or investment from VC.
Wow, you get some bullshit ideas about business if you get your mba at wikipedia.
Edit: Also, it was only during the bubble that you saw startups go from zero to IPO in two years, and moonshot IPOs were unheard of prior to Netscape. The conventional wisdom pre-Netscape is that you had to be profitable and growing for 6-8 quarters before the IPO. A "moonshot" IPO was one that bumped 10-15% on the first day. When Boston Chicken went public their stock was up something like 50% on the first day and it was major news.
The term "startup" originated during the dot-com bubble. The very origin of the term means it is supposed to apply primarily to new tech companies who are designed to grow fast.
A barber shop is not a startup. It is a small business. This doesn't make it any less legitimate as a venture. It just distinguishes it in terms of the nature of its business and industry.
edit: if you're going to downvote, at least have the courage to voice your disagreement as a reply.