Not if there aren't enough drivers there, period. I'd much rather a driver unfamiliar with my city who needs Google Maps to get me to my destination if the alternative is I have to wait 20 minutes for a car.

You could also allow for auto-handshakes, drivers who prefer to drive only within a radius handing over there passenger to another driver in transit.

Solution is to repeal the laws that make driving non-discriminatory. It'd be painful in the short run but ultimately a place being so bad cabbies won't drive there is a signal there is a serious need for other forms of intervention, probably by policing changes. Wallpapering over the symptoms may relieve short term pressure but is no long term solution.