I don't think drivers see this space as a "bike lane" no matter how many bicycle logos are painted on the asphalt. They see it as their own private driveway or something.
That is 100 percent true. A non-cycling friend of mine, who has lived for the past fifteen years on a street that is a designated bike route, told me last week that she nearly hit a cyclist with her door when she was getting out of her car in front of her house, and the cyclist had the nerve to yell at her. My friend was very taken aback because she thought the cyclist should have been on the sidewalk if there were cars parked on the street. "What am I supposed to do, check for bicycles every time I want to open my car door?"

I confess that I got a little snappy with her, just because I can't imagine that somebody got to be 50 years old, living in a bike-friendly part of town, without ever thinking that she ought to maybe look around for cyclists. Plus she is a lawyer and ought to know that bikes aren't allowed on sidewalks. (We're criminal defense lawyers and it is one of the excuses that police sometimes give for detaining our clients!)