My thinking is that driving has a typical burn rate (eg 1 kWh/mile or whatever), so the battery will be designed around this load pattern. Using it as a battery backup may be pulling a lot faster than optimal and cause additional wear.
It is probably only a minor impact, but I could believe it is outside the design constraints.
driving an obese, modern EV at highway speeds of around 100 km/h uses about 20 kW.
The average house in the US and Canada uses between 2 - 5 kW around 98% of the time.