Though for an 80 kWh or larger battery, you're only likely to store up and discharge 10-ish per day maybe this way? (Assuming you have actual dedicated BESS, and this is supplementing that). Still that's ~30 cycles per year, which is nothing in the grand scheme of a vehicle battery.
It is probably only a minor impact, but I could believe it is outside the design constraints.
The average house in the US and Canada uses between 2 - 5 kW around 98% of the time.
They also have to endure enormously strong charge cycles, and in many ways that is even more difficult time for the battery. Charging at >1C (better than a one hour charge cycle), at 100kW or whatever (and many cars charge far faster)? That strongly implies a very competent discharge. Charge performance almost always trails discharge performance in batteries, signficisntly, and yet we expect huge charge capacity from EVs, thus their discharge should be even more hard to imagine huge.
These batteries in EV are all built with chemistries for huge power dense. Not tuned for energy density (storage) but tuned for power density (instantaneous output). The load here, by compare, is tiny.
GM Energy PowerShift is one of the biggest inverters you can get factory for a vehicle and will do 20kW. For reference. Perhaps we could put on a 50kW v2h inverter, power the whole mcmansion. Ignore the fact that the battery is going to last 2 hours. I think even that would be perfectly fine, no worse than a day about the town.