It's not as straightforward as that. Sure, a car gives you more freedom - if you need to go further out for stuff. But if you live in a dense city, you won't need it - your job is in walking / cycling distance, all shops are, etc.
The other factor I found is that quality and affordability of housing is inversely proportinal to access to services/public transit; that is, in the Netherlands you can live like a king in eastern Groningen for the same amount of money you buy a starter home in the Randstad, but to get to the nearest city you're looking at at least an hour's travel (by car or bus/train).