Yes, it is a Beni Kumonryu. This variety was first bred by Kase. It is also one of the specialities of Kawakami and Aoki.
Herewith a story by Kase:
"I used to be an itamae (a sushi chef). At the age of 20, I started raising Koi as a hobby, and when I turned 25, I founded Koshiji Koi Farm and devoted myself to Koi. We at Koshiji Koi Farm do a lot of research in making new varieties that nobody would think of for everybody to enjoy. In creating new varieties, I do a lot of joint work with Mr. Aoki. The Koi we create are raised in each others' ponds so we can minimize the damage in case there are disasters.
Creating a new variety takes at least 3 years no matter how hard we try, and it takes 5 years or more for commodification.
I created a variety called "Benikumonryu" by crossing Kikusui and Kumonryu. Hi normally doesn't appear on Kumonryu's body, but I first crossed a Doitsu Showa and got a Kumonryu with hi bloodline. Then I crossed it with Kikusui and successfully got a Kumonryu with hi, and that's how Beni Kumonryu came into the world. (Kumonryu with shine is Kikokuryu, Kumonryu with hi is Beni Kumonryu, and Beni Kumonryu with shine is Kin Kikokuryu.)"
Sourced from http://www.japan-nishikigoi.org/koshiji.html