No one is saying anything about "conjuring it out of thin air". I'm saying that the word "Aiki" was appealing to Deguchi, who influenced Inoue and Ueshiba to change the name of their art from "Kobu Budo" to Aiki Budo to eventually Aikido.
There was clearly a lot of bad blood between Takeda and Deguchi, but there are also times with they were being very civil to each other. There is lot's going on there, it's hard to say exactly. But it's certainly not as clear cut as many would like to make it seem.
When did Daito Ryu Jujutsu become Daito Ryu Aikijujutsu?
About the same time.
All I'm saying is that suggesting a word that is already in common usage is substantially different from coming up with a new term.