So (the goal of) aikido is the coordination of body and mind? If I achieve this through training in e.g. singing, then I'm performing aikido?
If you can do so within a martial framework then maybe yes! Perhaps you could call it kotadama....
Heres an idea...why don't you tell us what was missing in Toheis Aikido that is present in say Tamura's.
Training methodology are definitely different ..could you share how the end product is different?