Car loan refers to the loan issued by the lender to the borrower who applies for buying a car. Automobile consumption loan is a new loan method that banks issue RMB-guaranteed loans to car buyers who buy cars at their special dealers.
Motor vehicle insurance, that is, "auto insurance", is a means of transport insurance marked by the motor vehicle itself and the third party's liability.
Buying auto insurance and your car loan are two different things. You can change insurance companies.
Further reading: How to buy insurance, which is good, and teach you how to avoid these "pits" of insurance.