Have you ever put the "wrong" city/town name on a mailing address?

If you lived in, say, a tiny suburb of a large city, and replaced the small town name with the name of the big city in a mailing address, would it still get mailed and processed correctly?

I’d like to use the big city name instead mainly for security reasons. I own my own small business, but use my home address for shipping. I don’t want to use the suburb name as it’s tiny, and I’m a little paranoid about creepy stalkers.