Yes it's still true. To charge an EV the average person needs around 10kWh a day, distributed over 23h of parking time. That's not a lot of current. You just need to teach the car to talk to the grid so that not all cars charge at once.
I recall a study that if 80% of cars were electric in the U.K., it will increase the load on the grid by 10-20%.
When only charged at home it's just an overnight charging window.
We don't have gas pumps at every parking spot and drivers are generally content with the current situation.
Also, most people live in cities. Most people in cities don't have a charger at home.
Cities are full of cars during the day, but the parking lots empty out at night. They live in less-dense suburbs, where it's comparatively easy to park and comparatively easy to have a charger installed. In the city, many of those who are willing to afford a car at all will also find ways to charge it (including sharing a few charging stations at their garage).
2. At least one but perhaps several orders of magnitudes more expensive than doing it at home. In part because you can charge overnight when pricing is the lowest.
I'd guess most people that have a EV-vehicle have a charger at home.