Miyawaki Taiken wrote a judo book Elementary Judo and Its Instruction, published in 1937. It is aimed at grade school judo instructors, and has detailed lesson plans to teach children. A graduate of the Tokyo Bunrika University, at the time of publishing he was the chief judo instructor at Tokyo Toshima Teachers School, the second teacher's training school in Tokyo.
There are actually three kata described in differing detail:
Ju no kata - a reduced, seven step version
Shinken no kata - a seven step combatives kata
Randori no kata - a ten step scenario to accustom children to randori
The Randori no kata seems unique - while there is an extensive section on the Randori no waza, which is composed of the nage and katame waza, it is not introduced as a kata. Tori makes a throw and enters into osaekomi, and uke works a series of attempted escape. Ten total.
The Ju no kata is at first glance just a reduced version of the full version and not broken down into sections:
Shinken no kata rationale - paraphrased.
The Kodokan Kime no kata, also known as ShinkenShobu no kata, provides seated and standing defenses against armed and unarmed attacks. This kata uses much of the same and has the same objectives.
The kata consists of standing versions of:
It's the standing, unarmed portion of kime no kata, less the sode-tori (sleeve pull).
Kime no kata standing techniques (tachi waza)
I think perhaps I know why sode-tori was dropped - often in that era boys phys ed / martial arts training was done in shorts and tee shirts, so no sleeves to pull!
Any, looking at the moves, it is very evocative of Goshinjutsu. Was there a link? Seen this way it is an interesting possibility.
Also, unlike today's kata training, the course outlines provide time for detailed, prior instruction in the attacks, atemi waza, grip breaks / escapes, etc.