No, it really doesn't.
In Europe action for civil torts is limited to what you've actually lost. There are no punitive civil claims. Courts are a method to get back to how you were, they're not a route to betterment.
And GDPR is not enforced by each victim of a breach taking civil action through the courts, but by victims reporting to the regulator and allowing the regulator to take action.
The reason people in Europe seem so blasé about this is because we've had decades of experience with regulation, and we know that they don't have many teeth, and tend not to use the teeth they do have.
GDPR isn't changing this.