That was the reasoning behind the 1986 law mandating the high mounted third brake light. The so called "anti collision" light. Here in southern California I haven't seen any appriciable difference in rear enders on the freeways.
European light laws are not necessarily applicable to the US as the driving habits and roadways are often quite different.
Bottom line---We don't need another, redundant, brake light. We need better driver training, restrict cell phone usage, NO cup holders (your supposed to be driving, not dining out),and, IMHO, restrictive licensing for drivers under 18 (ie. no non-adult passengers) and a graduated license for the rest of us (based on experience and skill level)!
Rod
PS: In Europe, a driver license can cost as much as $2000 and require a mandatory driver training course, even for adults !!!