Not sure what you are getting at or what you are asking. The OP was about putting down the name of the business for a SP. Many said put down your own name. You but down the legal name of the business. If you don't have a legal business don't apply and commit fraud.
Granted.
But if it's a SP and the there is no legal/registered business name.
If you are doing business as your self, without a "business" at all, say your friends call you up to do IT work for them you write your own name, because that's your DBA.
But if to your neighbor your business is called "Yaakov's IT" to your shver its "Yankel's IT" and to your goyish friend its "Jack's IT".
What do you write then?