Range anxiety is not just about a single trip. You are assuming that not only will we all be able to just charge whenever and wherever we park our cars, but that we'll never fail to do so. You also assume that only one person will be driving the car.
If I forget to plug in my phone it's not a big deal. I can just plug it in on the way to work or bring a battery pack. And it is not uncommon for my kid to bring our car home on empty. And then of course there are broken charges and unreliable utilities. I can't even count on a reliable internet connection wherever I go and that can be supplied wirelessly.
I have lived far enough out in the country before that I've had to deal with range anxiety in ICE vehicles. The threat of running out of gas before you can make it to a gas station is a very real and stressful issue. I can only imagine how much worse it is going to be when it takes more than just a gas can and a few minutes to get you going when you screw up.