Here's an idea, maybe we should start our own misinformation and myths.
When someone repeats a myth they got from the news, ask them which news outlet it was. When they tell you, nod sagely and say, "I thought as much".
Then go on to tell them that the news source they mentioned is funded by (BP, Shell, Gulf, etc, pick one at random) to spread anti EV propaganda because they are worried about their profits.
It could be true, and is more believable than the weight of an EV causing a car park to collapse.