What if all three are the same thing but explained differently?
I see evidence that they are not the same.
There are studies in which lights and other hallucinations have been induced with magnets. There are many historical claims to enlightenment by people that could not fight. Neither Takeda, Sagawa, or any of the other Japanese IS masters besides Ueshiba claimed to be enlightened as far as I know. I also have not heard of any modern Chinese IS masters claiming spiritual enlightenment.
What evidence supports the claim that they are all the same?