Never used Uber, what's the problem with someone knowing where you're going? Doesn't the app tell the driver before they pick you up? (Well I guess not, or they wouldn't call you...)
The destination shows up when the ride starts (i.e. you get in the car). Calling beforehand is a an indication that the driver might want to cancel the ride if the destination is "inconvenient" (e.g. from city center to a remote suburb).
This is a big problem with taxi drivers is australia. At 2am you'll be lucky to get a taxi home, because they change over at 3, so they don't like to go 10 minutes in the opposite direction.
I don't know why you're using quote, there are legitimately dangerous neighborhoods that someone may not want to drive to at 2:30 AM. Granted, if that's the case, then they shouldn't be Ubering at 2:30 AM, but it's still a legitimate concern.
The risk that they cancel you/reject the ride if they think you aren't going far enough, going too far, going somewhere they are unlikely to get a fare, going into a bad part of town, etc. Uber wants to provide service to where you want to go, not where it is most profitable for the driver to go.
