Tourists get this impression by staying in the city centre. However, if you live in an outer neighborhood, what would be a 15 min car ride can easily become a 40 minute journey on public transport if you have to walk to the train station, take the train, and perhaps take a bus for the last mile. Now imagine you have a kid in tow or an elderly parent.
Yes, public transit is not a necessity here like in the States, but it's a nice convenience to have, and plenty of people are wealthy enough to pay for it.