No question that some of the loads are highest with max distance long toss. The only question is why the loads are higher. The ASMI study concluded that the loads were higher for some reason other than throwing at a higher velocity during max distance long toss. The problem was that they measured the velocities incorrectly for the max distance long toss portion. There is a very real possibility that the velocities were actually several mph higher in the max distance long toss than they measured and higher than in any of the other forms of throwing. If so, then one could reasonably conclude that the reason the loads are higher during max distance long toss is that the velocities are higher. It would then follow that there was a training effect to be gained from max distance long toss. Just like always, the reward of possibly gaining velocity comes with the risk of higher loads on the arm during the max distance portion of the long toss.
I agree with Bum 100% on this. There's a trend for harder throwers to be able to throw further but I've seen big variations in long toss distance between pitchers of similar speeds.