Hmmm...wasn't there a style of karate that was developed by a mid-ranking dan grade aikidoka in the early 1970's in Japan? Emphasis is one avoidance ('irimi and tenkan'). What was it called...Seibukan? Tsubokan?
Don't know about that but there is a karate school that was heavy influenced by Morihei Ueshiba in the early 1930's. The time when he was still teaching Daito-ryu aikijutsu. The founder of the school was Yasushiro Konishi and at that time he called his style Shindo Jinen-Ryu Karate-jutsu. Today, the organization he started is called Japan Karate-do Ryobu-kai.