You have the right to not own a car. But if you do, you must have insurance for it (in Germany, at least). You cannot hide behind GDPR and say “I have a right to my data. I must not be asked to give it to any insurer without my consent.” You also need to have a driver’s license with your name and photo on it. GDPR doesn’t protect you there, either.
The bottom line is: Using a product may come with responsibilities or other concessions. You have the right to not use the product if the concessions aren’t worth it to you. You do not have the right to any product if you refuse the obligations that come with it.
This is, of course, my own opinion based on my understanding of how the world should work.