They really don't. Pretty much anyone with the ability to charge at home, charges at home for all their day-to-day driving, with stops at charging stations used only for infrequent longer trips.
Why do you think so? The convenience of taking a few moments to plug in when you park for the night, over taking a specific trip to a charging destination, seems pretty hard to beat (and that's before factoring in that home electricity rates are in general considerably cheaper).
In the Northeast, people often use fuel oil delivered to their house for heating. Except that this fuel oil is basically diesel/kerosene, meaning we already had a system of delivery fuel to people's houses. And yet there was never an outcry for home refueling for their cars. It clearly wasn't something that people wanted even when they had it. So it's hard to see why now all of a sudden this is a real selling point.
Probably because the idea of "you have to be home with the car waiting for the fuel guy to turn up" destroys a lot of the convenience, and the fact that car fuel tanks are more than 15 times smaller than typical heating oil tanks means you'd be paying a lot more overhead.
You have a big tank of fuel that can be stored up until you need it. It also takes a few minutes, not the hours you have to wait until a battery is full.
To clarify: Considering how popular it is to get other frequently-used consumables home delivered, like food and alcohol, it is on the face of it somewhat surprising that the same is not true of liquid vehicle fuel. My prior comment was suggesting some possible reasons this might be so.
Thinking through it some more, the objection around the vehicle needing to be home at the time the delivery is made can be overcome by having the deliveries made late at night, as long as there was some way to give the delivery driver access to the car's fuel tank. At the end of the day it may just be too inefficient to have liquid fuel delivered weekly in 30-60 litre quantities, the overhead being too great.