If there exists a genuine direct descendant of the Minamoto clan, then the Koga family, the kuge Genji (court noble family of the Minamoto clan) that inherited the status as the chief of the Minamoto clan, should be justified for it.
真の源氏嫡流というものがあるとすればそれは、源氏長者を受け継いだ公家源氏の久我家にこそその名分があろう。