I plug my car in whenever I get home, but it only ever charges between 1:30 and 8:30 am because thats when my electricity is cheapest, so thats when ive set it to charge.
It's crude but if what you're saying actually became an issue, you could solve it by doing the same thing and charging people more at those high demand times.
What's actually more likely to happen though is covered in the article you linked: cars hooked up to the grid will charge when there's excess electricity, and discharge when there's a demand for electricity.
See page 8 here:
https://www.chademo.com/wp2016/wp-content/uploads/2021/05/CH...