I've literally never had this problem and this is my first time hearing about it.
Same, is this a common bug? Never once happened to me. I've played that part at least 8-9 times.
Hard to say, my first playthrough on Normal, I passed that part with no problem. Now I am on Easy to fill the ranking slots for all Difficulties and I died 5 times in that part because Raiden always fall in the same spot (the very last missile explosion).
All 5 times, I tried different path, avoid cars, ninja running over the cars, no difference.
This bug happens to me nearly every playthrough. Once the just as the missile hits, even when I'm about to make it, the screen cuts to Raiden falling. On the times I pass it, the screen never cuts, but Raiden just disappears for a few frames and I just happen to trigger the animation for passing the bridge and I just appear there... Every time.