I do not see abuse. I do see that his timing is not as good as some I have seen. I did not quite agree with putting the gelding over a jump when he hadnt' been able to get him to by the jump without the horse wanting to run off. Making him go over the jump meant that he would be put into a position where he would almost need to keep running (to keep his balance upon landing) and the trainer then had to stop him abruptly with the line. I can see doing this when the hrose CHOOSES to run off instead of moving around or through a tight spot, "thinking" his way through, instead of fleeing through. But the jump meant that it was really hard for a fearful horse to both jump it, AND not go too far off and be jerked back.
I also thought he neglected to use some approach and retreat. He did not offer the horse much in the way of time to soak on anything, but kept the whip on his body, even when he slowed and down and stood still. At that point, it might be beneficial to take the whip away for a bit.
I liked his calm and good natured demeanor , and the general approach. And the hrose is great!