I think you're referring to a business, not a startup. The definition of "startup" has been tranformed into basically "a business that is primarily based on a website or mobile app," which it is not.

Startups rely on fast growth. If you have a very narrow market or your end goal is $200k/yr in profit, you are by definition not a startup.

If you're actually a startup, you should not have any profit in the beginning. You should be pumping that money back into the company and seeking external funding in order to pour gasoline on the fire.

There's nothing wrong with having a business instead of a startup (personally I prefer the bootstrapped business route) but to say that it's a startup is not accurate.