The most common type of bike accidents are cars failing to yield when turning or using driveways, and divided bike paths and sidewalks only make it worse.
I try to be super vigilant when crossing crosswalks and driveways when using the sidewalk, but pretty much all of the close calls I've had have been because I was riding moderately fast on the sidewalk.
Bikes are more like pedestrians than like cars.
The roads google maps instructs me to take for their bicycle directions are not bicycle friendly. I am directed to take a narrow road with just one lane on each side with motorists going 55 mph, even though there is heavy traffic and no room for motorists to safely pass.
It seems like google maps is optimizing for road incline instead of safety. I resorted to using their pedestrian routing to get a route with sidewalks, but of course then it doesn't take road incline into account. No E-bike here. And then oddly enough, the other day their pedestrian routing sent me through A CONSTRUCTION ZONE. That path was definitely not bike friendly or pedestrian friendly.
Google maps' bicycle directions never send me down a greenway, it always wants me to be right beside cars. If I have already biked 10 miles, you really don't want me to be right beside cars, as my bicycling becomes more unsteady as I become more tired.
The police have never hassled me for being on any road on a bike. But man, do the dudes in pickup trucks with truck nuts love to tell me to get off the road.
We don't route on sidewalks, and will avoid paths that are tagged `bicycle=no`. You can get a sense of these on our bike map. https://mapzen.com/bikes/