You have a mid coil short to the clutch body that when grounded provides fewer turns, more current, less magnetism, so high current an no function untill the metal is not touching ground ( what electrical people call a floating ground). So the circuit is different when the frame of clutch has a ground.. I am surprised a fuse is not blowing when mounted and engaged. The less magnetism will not overcome the spring brake incorporated in the clutch which stops the blades when disengaged. You can repeat the test by "Holding in your hand..." testing with a ground wire also touching the one or the other of the metal frames to ground and repeat that the clutch then acts just as if mounted.