Some other stuff from the biggest Danish study into the safety of their cycle tracks and lanes in Copenhagen:
"From table 1, it can be deduced that the construction of cycle tracks has resulted in three important gains in road safety: fewer accidents in which cars hit or ran over cyclists from the rear, fewer accidents with cyclists turning left and fewer accidents in which cyclists rode into a parked car. These gains were more than outweighed by new safety problems: more accidents in which cyclists rode into other cyclists often when overtaking, more accidents with cars turning right, more accidents in which cars turning left drove into cyclists as well as more accidents between cyclists and pedestrians and exiting or entering bus passengers."
"There was a 13% decrease in accidents at sgnalised junctions where only one blue cycle crossing had been marked. At signalised junctions where two or four blue cycle crossings had been marked, however, increases of 23% and 61% respectively occurred. Corresponding changes in the number of injuries for one, two and four blue cycle crossings are a fall of 22%, and increases of 37% and 138% respectively."
So the anecdotal observation that they seem to work turns out to be wrong.