I live about 5 miles (max) from the Hospital. My son once stabbed his his wrist accidentally. Lots of blood, screaming, fear and anxiety. Fortunately I have a car.
If I had waited for an ambulance, not knowing if any nerves were damaged, I would not have forgiven myself. Further, the cost of the car ride to the Hospital was maybe 5 cents, an Ambulance would have cost several Hundreds. If I had some hundreds to spare, I'd rather use it for the $150 ER Co-Pay.
Having your own ride is handy for many other reasons. I could do grocceries whenever the need arises. I could take my wife out for dinner on the spurr of the moment, we could decide, last minute to watch a movie and still get there on time. I also have more confidence in my own driving skills when there is an emergency. I certainly don't want to be driven at 25mph in the midst of an emergency.
In North Dakota where I live, the Red River used to flood, and some years past, folks had to evacuate. I wonder if Lyft/Uber ride has room for some 300 or so rsidents.
I would need to wait and see how the Google ride driverless vehicles work first before I decide if I like it or not, although there are situations where it could be a God Send. But I doubt I'd ever trust my family transportation needs to an outside vendor.