Ok, so I get to add my critique. I am not going to go back and watch the videos and pick out details. I haven't the time. But, the horse is driven to a kind of madness because the trainer gives him NOWHERE to have relief from the pressure. In the round pen , the pressure is applied pretty randomly, never letting the horse just go forward, once told to. She keeps getting in front of the horse, so telling it to go forward, but then blocking him from doing what she told him to do, then punishing him with the whip when he slows or suddenly turns. The horse cannot figure out what the trainer wants,so he gets more and more revved up. He is whipped even when he is doing what he thinks she wants him to do, thus he kicks out at her.
She corrected him with the whip to his face and chest when he got too close, in the last video, but she herself pulled him up onto her. She should give him a bit more line, send him away from her, either with a wiggle of the line or with body language, or lastly, with vibrating the whip (not hitting). Sent him away and have him stand off from her, and when he does, reward him with some rest from the pressure.
There needs to be a clear distinction between when the handler is asking for something, and when the horse is enjoying the reward for complying. This trainer completely forgets to reward the horse. The horse is desperate for a place to find relief. If she never offers this, the horse will become so desperate, kind of "hopeless", that it will strike out and become aggressive , or mentally shut down.
It's as if a mother tried to parent her children by carrying around a bull horn and shouting at them full blast, non'stop. Soon enough, the kids will be numbed or crazed, or both.