Wow, I can honestly say that the first video was disgusting. Not only was the guy allowing the dog to further agitate an already frustrated horse, the sound of that loose shoe nearly drove me batty. I didn't really see any blatant aggression there either. Even at the very first with the woman, that was at most a feigned attempt at aggression. If she had reacted by throwing her hands up and stepping forward, the horse would have stopped. What I saw during the rest of the video was a horse that felt trapped between the guy and the dog and was unable to focus because of that.
I also don't really see the point of the whole thing with the rope, he's not accomplishing anything except reinforcing the horse's first reaction to buck and kick. Every time he bucks and kicks, the rope falls off and he gets his "reward" by the removal of the stimuli . Couple that with the fact that the ropes were constantly tangled and wrapped around the guy's feet do nothing to demonstrate even a lick of horse sense. Anyone with experience handling any horse at all knows that you keep all ropes up off the ground and away from feet, both the horse's and your own.
The second video, I still didn't see an aggressive horse. I saw one that was spoiled and disrespectful, but that is a long way from aggressive. Plus, the lady just seemed to be nagging him instead of correcting the behavior.
Because of my life experiences, I have had the opportunity to see some truly aggressive and dangerous horses. Horses that would charge the bars of the stall when you walked by and charge and attack in the pen. Horses that had to be handled from the back of a pony horse that was bigger, tougher, and stronger than them until proper respect could be re-established.
Very few people have the tools and courage to handle a truly dangerous horse. There are lots of horses out there that have a few aggression issues that are easy enough to solve with the right training but most average horse owners/riders don't have much knowledge on what to do to correct it.
I honestly don't understand the point that the OP is trying to make and I see that I am not the only one.