Yehuda to the rescue!
Australia has Medicare as well as private health insurance, plus Ambulance service (subscribe, or pay ala carte) for accident/emergencies.
But we are still very car-centric, even in CBDs & inner suburbs... that said, the huge thing that'll stop me driving to a city hospital is their crazy PARKING fees which are as bad as our airport parking fees. Anything more than a hour or 3 there's good chance that an Uber is cheaper.
If ever needing to send family member to hospital appointment... I'd drive them to outpatients, get them checked in whilst parked in short term area (15-30mins) then move car far far away... so far I might have a bike in the boot to get back in.
Then I discover I've left the stackhat elsewhere
Don't get me started on Mandatory Helmet Laws.