Like Thrud, Neir is the one of the only bloodlines without any known holders of Major blood at the end of the game. However, it is possible that Brian may have produced a descendant before his death (or, with some prior and very careful planning, he can be avoided and remain unfought). Alternatively, if Iuchar or Iucharba is Larcei's lover and Lex is Larcei's father, the children of that relationship could hold Major Neir.
Neir's current descendants do not appear to have a good reputation; Lewyn was most critical of them and called them a disgrace to the Twelve Crusaders. It is slightly odd that Lewyn is only seen singling out Neir's descendants when the Thrud and Fjalar families were responsible for just as many crimes. However, one can argue Arvis and Ishtar tried atoning their house's crimes by helping stop the child hunts at the end of the game.