Congrats on the new set of wheels! Preparing for worst-case scenarios after this kind of investment isn’t a bad idea, even if it does seem tragic. To answer in short—gap insurance does not cover death.
In terms of covering loan payments after a car-owner dies in an accident, this will typically become the responsibility of any co-signers or joint owners. If there are no co-signers or joint owners, the car becomes an asset of the deceased’s estate—an executor will then determine how to continue paying the loan.
If you’re interested in coverages that pay for death expenses like funerals, medical bills, and loss of income in the event of a fatal accident, you may want to look into the following: