And it's normally at home, so if the power goes off for a week you can still run your house and charge your car.
Like other commentators have mentioned, if a u-haul like network of these were made, if you ran out of charge somewhere, they could drop one of these off to get you going again, as a depleted battery pack will charge slowly, making the van full of batteries potentially more expensive (you would have to pay for an extra 15-30m of their time).
If anyone did this, they probably would offer 15kW and 30kW versions, so both passenger cars and light trucks would be covered.
I suspect that would really mess with the load dynamics on most passenger type cars, as the generator would be pretty heavy. I don't think you'd be able to lift a big enough one into the trunk area, and attaching it to the back of the car would be a pain too. I think towing solves a lot of issues for the idea.
Tow your own generator.