I also run a small business and I agree with this. I think it becomes more notable when you have to change the heading on a large company and all its bureaucracy.
It really begs the question "what is a company?" if one can shift between such disparate markets. Surely mission doesn't define a company then. Perhaps ability to accumulate capital for a means?
Many of the people I know started in a similar place, but their businesses evolved into all kinds of weird and wacky enterprises.