In many jurisdictions this is a public record, which Square can retrieve automatically, but you will tell them who you are when you open the account.
Exactly this.
I have two legitimate businesses. One is an LLC and the other an S-Corp. Both show my name as the registered agent, among other titles, as public record. The state has a website where businesses go to register and pay annual fees. There is a search function that can be used by anyone. In a matter of 90 seconds, anyone can have all my business registration info by just typing the business name into the search field.
Also, I have a Square account that I use on occasion. Again, for actual business purposes. They have more than enough of my personal information from opening that account that if I used my own card, they’d know.
Maybe, and this is a stretch, if you have a legit business that does a ton of transactions using Square, you’d be able to liquidate some GCs. But then you’d be risking your legitimate business, which is just plain dumb. Also, if you create a business just for this purpose do you not think that they’ll see repeated use of specific BINs?