If it grows at O(n) it is not a startup in the way "startup" is used in Silicon Valley. It is just an ordinary new business.
It's worth noting that starting an ordinary new business is hard. Probably as hard as starting a startup for anyone who has not started a new business a few times before. And maybe harder because most new businesses are undercapitalized and therefore likely to suck up personal capital while startups get to use other people's money.