Uber is a tech company that basically writes an app and maintains servers. They do their damndest to pretend that the drivers do not work for Uber. They use minimal vetting on those drivers, and they often look the other way when accounts are rented out illicitly, swapped-in vehicles go unreported, and other hijinks on the driver's end. How could they possibly even be aware of issues which would affect a driver behind the wheel, or the vehicle on the road?
Since all that Uber does is write an app, then this family should be targeting the sole person who may bear any responsibility or liability: the driver themselves. It's the driver's personal vehicle: it's not a fleet model, and Uber neither provides these, nor even inspects them! It's all on the driver and the driver's insurance, so let the drivers be sued.
Article says nothing about whether they've pursued this avenue, but just attempts to garner outrage over Uber's perceived invulnerability here.