I think it's more about how deep the cycles go -- just don't let the grid drain below like 30-40% battery and it likely would have no meaningful impact long term.
But at such a compensation level, one could probably just purchase deep cycle lead acid marine batteries. They could sit in one's basement charging/discharging at a much lower cost than the lithiums in a car.
Current estimate for a battery replacement is 4K - 20K. With energy storage's learning curve, this will be soon under $3K.
1)https://www.nextbigfuture.com/2022/12/catl-will-mix-cheaper-...
https://about.bnef.com/blog/behind-scenes-take-lithium-ion-b...
My understanding is that the impact on battery longevity relates to the rate at which it is being charged/discharged. Accelerating and regenerative braking are small potatoes compared to charging over a typical level 2 system, I would think.
A typical L2 charger will provide in the range of 6-10kW (AC, marginally less ends up going to the battery after conversion losses). 10kW is only 13hp; forget acceleration - the car draws more than that at highway speeds.
(You can come at this result another way too - an L2 charge may take 6-10hr to refill the battery from empty. But the car would not be able to drive 6-10hr at highway speed starting at 100% charge! So the L2 must be delivering less power than the car consumes at cruising speed.)