It is important to note that even if it is not illegal to have someone take over payments for a car without putting the car in their name, there are still some risks associated with this arrangement. For example, if the person taking over payments stops making payments, the registered owner of the car may be held responsible for the debt. Additionally, if the person taking over payments gets into an accident, the registered owner of the car may be liable for any damages caused by the accident.
For these reasons, it is generally advisable to have the car put in the name of the person taking over payments as soon as possible. This will help to protect the registered owner of the car from any potential risks associated with the arrangement.