Maybe I can offer an explanation about the sword blade being down?Usually in Iaido the cutting edge of the sword [in the saya]is uppermost[ie the curvature of the sword is curved edge above ].In order to change the angle of cut [say Kesa Giri ] using the left hand on the saya you turn the saya to the appropriate angle in order to initiate the correct cutting motion.In your case the saya[ at rest as it were ]is curved edge down over.Just a minor point but an important one.
Hope this helps. Joe.
Thank you for that.That makes perfect sense. G.