When you take a loan and sign for a lease, you sign a contract in which you give the creditor some rights to your vehicle. Those rights will be there until you pay off the amount of the loan. In case you fail to pay off the loan amount, the creditor has the right to take back your vehicle, and they do not even have to warn you about that. They do this to get the money, and they do not even have to visit any court for that.
They also have the right to sell the rights or contract to other parties, and that party now will owe some rights to your vehicle until you pay back the money. There can be differences in the contracts. The rights can also vary from state to state.