It makes sense that in the near future, the electronics for all plug-ins and hybrids be redesigned to work both ways seamlessly – to power the house if needed using the same cable that provides battery charge. This makes the most sense with fuel cells and Honda already has a product for this in the pipeline.
https://evobsession.com/use-your-electric-car-to-power-your-home-with-honda-power-exporter/ It will provide about 4 times more power for a week, compared to your setup … so in places like Texas you could probably run the air conditioner as well as appliances. One would need about 5 of them to power Al Gore’s mansion, however… so there are limits. From: Jed Rothwell I am ready for a power failure. I now have a 2 kW inverter which I attach to the starter battery in a Prius. That is located inside, under the deck, where the spare tire is kept, so it stays dry in the rain. I can then leave the motor on. It only runs when the battery drains. 2 kW is enough to run a modern refrigerator and lights. Or a pump to drain water under the house, but I don't think I can run both at the same time. I wish I had a 4 kW inverter but I don't think you can attach that to an ordinary car battery. - Jed