Their geocoding service is much better than Google's if you have messy/incomplete/misspelled addresses. I've never compared their route finding, but to the extent that knowing where you're going is a requirement for finding a route there, and they're getting the addresses via speech recognition, Mapquest might very well perform better. Also, Google's license terms forbid you from using the maps API to do anything but draw maps. Mapquest's is much more permissive.didja notice how their infographic invokes MAPQUEST? srsly? when was the last time you got a useful result out of Mapquest?
Full disclosure - a good friend of mine works for Mapquest. I really do wish them well. By contrast, my feelings for google are similar to my feelings for Goldman Sachs: they are a vampire squid bent on getting rich off the backs of the proletariat. That said, Google is Goldman Sachs. Mapquest is my friendly neighborhood credit union.