Handed down as Kanemitsu but re-judged as Omiya. Personally, I don't think it's either Omiya or Kanemitsu.
(Omiya Tachi, Nagasa 72.5 cm)
http://www.sho-shin.com/omiya.htm
To me it looks more like Kanenaga or Chogi / Nagashige, it could also be Nagamori
However, at the time there must have been communication between the smiths, so its natural for Omiya to have Kanemitsu traits.
http://www.touken.or.jp/english/nihon_koto_shi/(36)%20No.590.htm
also look at Shijo Kantei No 620 (September, 2008 issue), about Omiya (Morikage), its the last pages of the article
http://www.touken.or.jp/english/translation/622.htm
Kozori school is nice work, but rarely seen good work on the market today. Look for Kozori before Oei and it is rare to find a signed example.
You can find a tasteful itame hada of Bizen with slight utsuri that was more dense and a little different from the Omiya. It is a commonly accepted view that their style generally resembles to the mainstream Osafune school, especially Kanemitsu, but with a smaller tempering style and less flamboyant pieces.
This is a rare wakizashi from Kozori smith Yukihisa
http://www.sho-shin.com/kagemit2.htm (Bishu Osafune Yukihisa, Oei Ni Ju Ni Nen Ju-ichi Gatsu Hi)
I speculate that Kozori came out of fashion and that other more "flamboyant" Bizen blades became favoured instead. Bizen Kozori displayed a more "classic" workmanship. To sum it up, you have the great Kanemitsu, the Omiya school and the Kozori school all connected with O-Kanemitsu as a top smith in that triad.