That's not true. If I'm a motorist, moving at speed, and I slam my brakes to grab that nifty parking spot, I am liable. Not the person who rear-ends me.
As far as I know, this is standard in driving laws across the U.S. Is there somewhere this doesn't apply?
If you get hit and get propelled into the car in front of you, it's your fault you hit the car in front of you (although this may vary by state).
If the manual transmission car in front of you shifts into neutral on a hill and slides back into you, it's your fault.
The person behind is usually in control of the space between cars and they are held to be responsible for it. You can possibly make it not their fault if you shift directly into someone's lane at speed right in front of them and then hit the brakes.