The article above was written by Tanobe-sensei.
He says, (my loose translation of the salient bits)
Regarding Tomoshige 1st; he is said to have been either a student of Rai Kunitoshi, or a student of Kashū Sanekage. However, by looking at the the oldest extant sword believed to have been made by Tomoshige 1st (Important Art object in the Atsuta Shrine) the former claim, while not impossible from an age standpoint, seems difficult to accept judging by the style in which the sword was made. Meanwhile, the latter claim is inconsistent with the age of the sword. Indeed, judging from the work of the jiba, and from the shape of the nakago jiri being in the style of Katayama, and from the workmanship being of the kind often seen in kanmuri-otoshi blades, it seems as if it is a continuation of the Yamato tradition, and swordsmith groups coming from Yamato, such as the Uda who settled in Etchū in the Hokuriku, and Nobunaga et. al who carried on the Taima tradition in Echizen Asago, are gaining attention.