Zoning restrictions are a red herring. Even cities with liberal or nonexistent ones (Houston) have traffic issues, and even the most adamant anti-zoning activists rarely want to raise their kids next to a gas station or a liquor store.

It's the downtown-suburb hub-spoke city model, where everyone ends up on the road at the same time driving in the same direction.

Look at some cities designed from scratch with cars in mind like https://en.wikipedia.org/wiki/Irvine,_California The office complexes are decentralized, surrounded by shopping plazas, parks and schools which are then encircled by apartments, then semi-detached residences, and finally detached single family houses. Everyone with a job at one of the office parks can live closer to their specific job without affecting the traffic patterns of the other neighborhoods.

Even though it's very car-centric (with I-5 and 405 going through it), has next to zero public transport, is home to a regional airport, Irvine consistently ranks in the top 10 places for living / retiring / growing up / bringing up kids / park access metrics.