In some areas it has much better traffic routing. All it takes is getting alerted to one big jam ahead of time and you'll use it every commute.
- Waze is a bit more dynamic/aggressive in finding me alternatives when traffic patterns can change due to accidents - "speed trap reported ahead" - the "turn left" direction is better timed than Google, Google will tell you to turn while your turn's still a bit far off, sometimes you'd turn into the street before. - loyalty, Waze was great before Google bought it and used its reports and traffic data, and it's still great even now.
I agree with your Kleenex sentiment, quite a number of people who know their way home, still use Waze for the alerts and reports.
I agree that gmaps has a better interface, at least for routing. I vastly prefer the alternative routes implementation on gmaps (it's right on the map). In waze I need to click through a few screens, which isn't practical when I'm driving. In gmaps I can glance at the map and make a decision without touching the phone at all.
Waze has speed trap warnings, Google maps doesn't.