It can't just be better than the average human driver. it has to be some like 10x as good as the average human driver or on par with a race driver.

Everyone thinks they're above average, even people who know statistics! So if it's merely 20% better than the average driver a huge number of people will conclude "I am above average so I'll do a better job"

Will some of them be wrong? Of course. But tons of them will be right, too.

It can't be statistically significantly better, it has to be statistically overwhelmingly better. Not a part of a standard deviation but several of them.