I've had the second (refused to be driven) from Uber drivers in London before, except couched in silly excuses like "there are roadworks, it's not possible", and to add insult to injury, marking the ride as complete so I get charged anyway. TBF Uber were extremely prompt about refunding it.

The last point I won't disagree with; Uber is definitely cheaper, qualitatively so, such that you'd consider it for trips that you'd never take a black cab for.