I don't know about NYC cabs specifically, but everywhere I go, traditional cabs don't use GPS. So instead of sitting back and relaxing, I have to play navigator to the guy driving the cab. This is interesting in locations I've never been. I give the address, and the drivers asks me which highway to take. How am I suppose to know? I end up using my phone's GPS just so the driver can go where I need.
Now you can run into problems with Uber when they are relying on GPS to get places somewhere like Boston, and the major roads are underground and the buildings can interfere with signal. You'd think someone driving Uber would at least know where the major sports arenas are located, but I guess not. Anyways, an experienced cab drivers, with GPS, who I could hail from my phone, would be my goto service, regardless of all but extreme pricing differences. Boston cabs wouldn't even take credit cards till Uber (and some even still use carbon paper to do so) so they still have a long ways to go to catch up.