>these crosswalks give people a false sense of security that they can cross without vigilance at any time
I'm Australian so I'm not sure if a crosswalk is exactly the same, but the whole point of what we call a "pedestrian crossing" is that a pedestrian can cross at any time with as much or as little vigilance as they want.
It is illegal to not give way and it is illegal to drive across the pedestrian crossing if there is a pedestrian already on it.
I very much doubt you'll be able to locate a study showing that jaywalking is safer than crossing at a pedestrian crossing.
That's a fair position to take, but I would be questioning why it is that the drivers are unaware or unwilling to obey those laws?
Yes, if the walking-person symbol is on the thing, I expect to be able to walk without dodging these megaton deathtraps who want to be one minute earlier to the job they hate. I especially despise that cars are even allowed to turn into a street while pedestrians are crossing. What's the point of the walking-person symbol light if you're gonna allow cars to go through anyway during it? Dumb.