How will V2G work with a home’s battery backup?

Do we have any idea how new electric vehicles with V2G will play with a home’s battery backup?

I am approaching an install with 3 Enphase batteries. If I were to get a vehicle with a 130kw battery and V2G, it’s like have 12-13 batteries on top of the batteries in the home. I’d like to think there will be a way to have the vehicle work with the home’s batteries, or perhaps charge the home’s batteries (i.e. work with the home’s batteries to power the home directly, or fall back to recharging the home’s batteries as they discharge).

What do we know?

As a separate question, do people typically power their HVAC with battery backup?