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(A2) Judged in K’ L is the length of a measuring rod in frame K’
Beginning of the end??? Where did that come from?Thanks,Butch 
Light must traverse the exact length of that measuring rod in the same amount of time judged by any observer no matter how much it is contracted from the observer’s point of view.
But, like everywhere else, it does not offer justification for why length perpendicular to the direction of motion is exempted from the affect of time dilation.
The time –hours- is crucial for distance and/or length. If you discard the time there is no distance.
Whether the observer is in the moving frame with the measuring rod and judges the length to be non-contracted or if the observer is in the rest frame and judges the measuring rod in the moving frame to be contracted, light will always be judged take the same amount of the observer’s time to traverse a measuring rod.