His current descendants have good relations with the Tordo family and hate the Baldur family. It is not known however, if these relations applied to Neir himself.
Like Tordo, Neir is the one of the only bloodlines without any known holders of Major blood at the end of the game. However its possible that Burian may have produced a descendent before his death. Alternatively, if Johan or Johalva is Larcei's lover and Lex is Larcei's father, the children of that relationship could hold Major Neir.
All three generations of Neir's descendants were partners with a holder of Tordo's lineage. In all cases they were overshadowed by their Tordo counterpart: Langobalt by Reptor, Danan by Bloom, and Burian by Ishtar.
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. Though it is slightly odd that Lewyn is only seen singling out Neir's descendants, when the Tordo and Fala families were responsible for just as many crimes.