May I ask for some clarification? What does "mindful" mean?
IMHO, it can mean different things to different people.
To me, its about bringing intelligence and awareness into what I am doing. It is focusing the mind in the same direction as my body.
Many people think that non-intellectual is totally about the physical training. I see people do with with great intensity, but don't improve because the are not also intelligently present in what they are doing. Being absent of mind or brain dead is not the same thing as Soshin or Mushin.
Intuition is still intelligence on a subtle level.
What I am suggesting is that while we physically train, we also mentally integrate and stay intelligently present.
Intensity is of the body but intent is of the mind.
Ki (energy) follows the focus on intent.
Thanks for reading and responding.