I have an EV. After I drive it home, I plug it in. Except when I'm lazy, it's basically never below a couple hundred miles of range remaining.
Rolling blackouts wouldn't really cause an issue, and when I've experienced blackouts, it's never been a problem. When the power is on, the car would charge back to the limit I set (I usually keep it at 80% charged to preserve the battery, which is still nearly 250 miles of range). When the power is out, it's anyway very rare that I drive hundreds of miles in a day and actually need to charge — and as other posters have mentioned, you could hit up a charging station that isn't in a blackout at that point.
When I owned a gas car, getting below 50%, or even below 25%, was completely normal. So I can see how if you're used to gas cars, it would seem worrying that there might be a blackout: how do you "refill" if you're low? But the truth of electric car ownership, at least in my experience, is you basically never go below 50% charge in daily use. So the idea that you'd likely get stuck at some point because the power went out just isn't really a concern.
IMO assuming you have home charging (either a garage in a house, or if your apartment building offers chargers) — which to be fair is a reasonably big if — electric is much, much more convenient than gas. You never have to stop at a gas station equivalent in your day-to-day life, since you just plug the car in when you get home, like you'd charge a phone overnight. You barely need to do any maintenance, because the moving parts are so simple. And electricity is much cheaper than gas.
For people without access to home charging, I think EVs are currently more annoying than gas cars. But not because of blackouts: it's just because charging to full is considerably slower than filling a tank of gas. If you're not able to have it charge at home while you're asleep, regularly hitting up charging stations and waiting is annoying.