And if a bike lane did not exist, then would the accident have been prevented?
I fully understand the issues you present, and I also understand that much of what a cyclist has to do to avoid accidents with motor vehicles has a lot to do with compensating for the lack of good driving habits by motorists.
Speeding up to pass a cyclist and then making a sharp turn is a bad habit portrayed by motorists that feel they must pass a bicycle at all costs... a bad habit by motorists who are not willing to truly share the road.