Running red lights, pedestrian crossings and blind people

I wonder if drivers would be more careful at pedestrian crossings if they saw a blind person standing there. When I cross the road outside the train station in the morning, I frequently see people run the red light, even after my pedestrian crossing light has gone green. I just wonder whether they would take more care if it looked like I would be responding instantly and automatically to the alert that sounds when the lights change.

Mokalus of Borg

PS - Perhaps some day I'll try carrying a white cane to see what happens.
PPS - I'll have to establish some kind of baseline statistic first, though.