I'm not sure but I don't think they do. It seems like every interview I read and website I go to the Brazilians call it just Jiu-Jitsu or Pedro Alberto Jiu-Jitsu or Gracie Jiu-Jitsu or Alliance Jiu-Jitsu. Is this just an american term? I mean the Jiu-Jitsu the Gracies learned was from Count Koma and he was Japanese and he didn't teach them BJJ he taught them Judo/Jiu-Jitsu that he learned in Japan. Please don't come on here and say, but Helio took what he learned and changed the techs to make them easier for a smaller man. Have you ever looked at the size of Jigaro Kano Sensei or Mifune Sensei? He may have made his style of Jiu-Jitsu but he didn't change the Techs. Let's just discuss the term BJJ and where it is used. Train Hard, Stay Safe.