The plug and charge protocol is open

https://en.wikipedia.org/wiki/ISO_15118

While what you say is true about a gas station, I think a lot of the standard privacy arguments dont really hold for a car.

Its literally illegal to drive a car without it being built to the standard the government likes, with an identifiable ID printed on the outside of it, with a valid license with your name and date of birth on, and current registration.

Let alone the fact that the vast majority of cars are sold with gps trackers bolted on if they are financed. Requiring a credit card tied to that vehicle is the least of your privacy worries.