Possession is separate from ownership, those are well-defined concepts with very distinct meaning, and repossession (as the name hints) is explicitly about possession, not ownership. The moment of successful repossession does not change ownership. It may be that the ownership has already changed (and was a reason for repossession), it may be that it's "just" a collateral and the ownership will either never change and the car will be returned when the payments are made, or that the ownership will change some time after repossession after it's settled that the car will not be returned and the repossessed car is sold as collateral when liquidating the debt.