Even that is wrong for the most part. People are at home for generally at least 10 hours. How many people would go anywhere to fuel up if they had a pump at their home? A standard type F outlet will get you about a 10km charge per hour. That is 80-100km per day which will fully recharge most people each day. If you go farther than that one of those days? Chances are you will be fully charged the following day.

That is all continent on those shower chargers being decently available for overnight parking though. That will be something that needs to be worked on.

The issue with fast chargers is that they are much more expensive (both to install and for the customer) and tougher on the grid due to their quick, large power draw. They are fine for the less than 1% of time you are going over 400km but ideally not needed much outside of that. But there will be a transitionary period where there is not that lower speed charging everywhere and people will get EVs while having to rely on those chargers. Hopefully governments can provide the right incentives and legislation that gets things to where they need to be.