Does Square have access to information that credit card companies do not? If not, why haven't CCs started a similar program (or have they)?
More critically, their data may have limited power for predicting businesses' creditworthiness. MasterCard can only see MasterCard transactions. This is fine for evaluating the cardholder, particularly if MasterCard is at the top of their wallet. But it produces a conditional view if one wants to estimate a merchant's cash flows. Square, on the other hand, sees a broader swath of a business's transactions. This might give it a small statistical edge in certain cases.