About those tax statements you have seen or received on home "loans"
Answering your question requires tracing the convoluted strategy of the investment banks. Start with the proposition that each player is one of the separate business entities involved in the securities plan that claimed to “have” your loan in some manner, shape or form. Next go to the fact that the creditor role was extinguished in the plan. That leaves the debt with nobody to pay (no creditor). Nobody has an asset on their balance sheet corresponding to your transaction that was originated as a “loan.” BUT you are making payments as directed by people whom you think are actually authorized to tell you