I’m not convinced it’s a simple as that.
My EV chargers at night during low demand. The energy provider decides exactly when (they start and stop multiple times per night), and gives me a rate of 1/4 of the normal as a benefit.
My usage pattern is to charge every night, but I only use about 10% during a normal day. So on average I am close to fully charged at any one time, and can therefore go a week without charging.
There is also vehicle-to-grid as you described.
My national grid had so many people making inaccurate statements about EVs that they made a page specifically to address them: https://www.nationalgrid.com/stories/journey-to-net-zero/ele...