Better to buy electric company shares, now
"Most people will charge (slowly) at home the vast majority of the time. That includes most of the people at a service station, who will wait until they get home to pay a lower rate for their charge."
Irrelevant as those people do not count any more than people who do not buy gas from gas station.
Reality still is you need several hundred kilowatts *per car* to charge any significant amount of electricity in reasonable time. So having "only" 10 charging points would need several megawatts as input. That's major factory size of consumption.
Multiplied by amount of charging stations around country. One major nuclear plant is about 2000MW, it could power about 1000 charging stations.
How many service stations we have now? Divide that by 1000 and you get the amount of *new* nuclear plants needed to power them all.