If you have solar panels or time-of-use electrical rates, you charge the car when power is cheap/free, and spend stored power when the grid costs are high. During a protracted outage, maybe you drive the car to a fast charger.
In the US, V2L limits your ability to output power from the car to about 1500 W. It's not going to power your house as more than a stopgap, even if you do have supplementary house batteries. V2H/V2G justify their complexity by solving that problem, along with all the ancillary grid benefits.