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Reading that I got the impression he was feeling front to back motion in the rear sprocket not the front, hence the reference to 4 nuts, only 2 on the front sprocket. If so, the damper rubbers may have gone hard and need replacing.
I'd remove the rear wheel and dismount the sprocket, then place each stub in the damper rubber hole and see if it moves.
Probably the difference between the genuine Honda part and a pattern part.
You must be bleedin' phsychic.
What section of the test did it fail on? Wouldnt even have been an advisory in my day