I'm not sure where you made this experience though.
But at least here most cities i'm aware of, do not offer uber. But Taxis.
Big cities sure they have uber.
I also agree though, i don't like that uber is disrupting existing markets just because but taxis are shitty. Still i haven't seen an uber doing dialisis drive in my hometown, its taxis not ubers.
This experience doesn't exist anymore, because Uber/Lyft/ridesharing apps out competed useless taxi companies.
People who needed to get taxis certainly didn't always get taxis.