There is only one Shinto Muso Ryu Jojitsu. The meaning of Shinto or Shindo is almost the same. Shinto means "the divine way". Nowadays, Shindo means "the true way". Later, this name was adjusted by Shimizu Takaji in to Shindo Muso Ryu Jodo. (1939) Many system names changed in a later period by the popular addition"do". We will call it "Shindo Muso Ryu Jodo".
There is only one way to practice and study Shindo Muso Ryu Jodo. The name "Seitei" was introduced in the sixties by the Japanese Kendo Federation. During that time, the requirements for this Federation were modified. Candidates for Nidan in Kendo needed some knowledge of Shindo Muso Ryu Jodo. At the request of this Federation, Shimizu Takaji Shihan has chosen 12 kata. These group of 12 kata was called Seitei . This was not a problem because everyone knew that Seitei Jodo was only intended for the Kendo practitioners within the Zen Nippon Kendo Renmei. But the result was the impression that Seitei Jodo is the main system. Overall, it is incomplete and does not cover the original Jodo of the Shindo Muso Ryu (Koryu). The performance is mostly too emphatically 'step by step' with too long breaks. That looks robotic. The long breaks are only necessary to learn and study kata. Ultimately, kata should be performed as originally intended. While there is sometimes some improvement worldwide, there is still a long way to go. If you start at the beginning, the first kata group should be the group Omote-Waza and second the Chudan-Waza. In that case there would be less misunderstanding and later the Seitei Jodo would be practiced much better! Of course this would provide better basics. It is not without reasons that Omote-Waza is the first group of kata in Shindo Muso Ryu Jodo.
2 QUESTIONS for reflection...
a If you change Beethoven's 5th Symphony, can you keep calling it Beethoven's 5th Symphony?
b If you change the Night Watch by Rembrandt van Rijn, can you continue to call it the Night Watch by Rembrandt?