ABS brakes are a great example of a safety measure that did not bring about the reduction in accidents that was assumed because people got used to being able to brake much later.
I'm pretty sure you're attributing the wrong cause to the failure of ABS to reduce collision rates. I doubt that most people ever activate their ABS in normal driving, except where there is a significant grip reduction such as ice or wet overbanding, so it's not that everybody is out there desperately late braking into every corner, the problem is that people don't hit the pedal hard enough even in an emergency. To see if this is the case, the thing you'd need to study is the effect on collision rates of "Emergency Brake Assist", where the ABS computer detects an abnormal, but still well short of maximal, brake application and then hits the brakes as hard as possible, slowing the vehicle more quickly than the driver would have done without the intervention of the computer. Most people have no clue how fast you can stop on a dry road, so they only hit the pedal hard enough to feel like they are coming to a sudden stop, not hard enough to exploit all the grip available.
I'm pretty sure you're attributing the wrong cause to the failure of ABS to reduce collision rates. I doubt that most people ever activate their ABS in normal driving, except where there is a significant grip reduction such as ice or wet overbanding, so it's not that everybody is out there desperately late braking into every corner, the problem is that people don't hit the pedal hard enough even in an emergency. To see if this is the case, the thing you'd need to study is the effect on collision rates of "Emergency Brake Assist", where the ABS computer detects an abnormal, but still well short of maximal, brake application and then hits the brakes as hard as possible, slowing the vehicle more quickly than the driver would have done without the intervention of the computer. Most people have no clue how fast you can stop on a dry road, so they only hit the pedal hard enough to feel like they are coming to a sudden stop, not hard enough to exploit all the grip available.