Your example is not analogous to the OP. You were trying to get Apple to allow you to do something within their own product, not trying to start a business and

Your example is not analogous to the OP. You were trying to get Apple to allow you to do something within their own product, not trying to start a business and then having another business say you can't name it something. Apple doesn't have to let anyone register a developer account. They don't need a reason if they decide to reject certain account names.