This is a branch-off of my post #3 in the Taipei Report thread (in the Chinese Internal Arts forum - reading it will put this post in perspective and keep me from repeating stuff) in which Windwalker brought up BJJ's place in the MA world.
As I describe in that post, CMA and karate developed gradually over centuries in response to the historical, cultural and philosophical environments in China and Okinawa, as well as Japan with input over time from numerous masters, sharing and passing on their knowledge. IMO, this fully addresses the definition of "traditional." BJJ, however, developed in a much different way.
In contrast to those other arts, BJJ developed in an environment mostly devoid of these traditional factors. Warfare, philosophy, politics, cultural need, etc. did not play much part. This is what I gather from the online info on its origins. The short history is judoka, Mitsuyo (or his student) taught the sport to Carlos Gracie. His brothers, including Helio, adapted that art from one that emphasized throwing the opponent to the ground to one that emphasized what to do once he was on the ground and stressed submissions. Thus, BJJ was born. Compared to other empty hand fighting methods, BJJ was born almost overnight by one family.
This birth happened to occur in Brazil, but couldn't it have been any country that Mitsuyo or someone like him taught someone like the Gracies? The place and its traditions had little influence.
By the common criteria of "traditional" BJJ does not come close to the experiences of Oriental TMA. IMO, it is a different kind of animal. There is a BJJ tradition within its own ranks, but when compared in light of the other arts' history, it falls short of being a TMA. I am talking only of semantics and classification here - no judgement or opinion is being given as to its effectiveness, usefulness or worth. Those early Gracies were innovative and developed a unique specialized style.