I have both the Special 4H and a MIG Sadowsky Metroline PJ (not the J/MM), and really like both. In fact, I was just playing them both earlier today. Both are very high quality instruments, as you know. In your videos, I agree with those who found the Sadowsky more articulate and versatile. However, your StingRay video was shorter and more slap oriented. I wonder if a little more knob twiddling would have pulled more bite out of the Ray. My Specials are less harsh than their predecessors, but can still sound pretty bright.
Neither of these basses is likely to get much cheaper, and it's fairly easy to score a used Special for a somewhat reasonable price. Maybe snag the Sadowsky now and consider a Special down the line?