That's not what I said, and it's exactly why one makes a corporation.
When you register a corporation, it is a legal person (in the US). That person is the person selling the goods or services and is legally responsible. That's different from the concept of which human people own a company, which can be obfuscated through many means.
The OP asked how to sell something without providing any identity information.
You can absolutely incorporate in the US without exposing your name to the registries.
Putting your address online publicly FOREVER is straight reckless, that Play Store forces you or not.