1. That's a lot of pollution. 2. You have twice as much traffic, since these cars need to come to your house every morning, and drive back to their charging station in the evening. They can take those trips off-peak hours, but you still have a lot more cars on the road. They could stay at your house overnight to save on wasting energy, but at that point you're just owning a car, or renting one full-time. 3. Do many people take a taxi to and from work daily? No, and this is quite similar. It's too expensive, people take public transportation, or buy a cheap vehicle (this could be that vehicle).
This is a replacement for the taxi, and for car rentals. If you live in a city and need to rent a car for a day, this would be a great situation. You don't even need a driver's license, so you just push a button, car appears, and you're taking it to your destination. I've lived in a dozen different cities, and this is something I'd use. I don't rent cars often because it's kind of a hassle, a little scary driving in a new city, and a little annoying searching for parking, but the convenience of pushing a button would encourage me to use it for certain trips. It should also be slightly cheaper than a taxi since you're not paying or tipping a driver.
They could probably get creative and offer monthly plans, where you get up to X trips, and Y kilometers, for a slightly better rate than renting on a per trip basis.