Awwe he looks wonderful!!
He actually reminds me a bit of my pony (probably why I like him so much :P) What are his WB lines?
I would just ask why they are riding him in the gag? And please do get him in some dressage lessons I have a feeling that stride could open up a lot more, while staying collected that it shows in the video, and the girl shouldn't need to haul on his face for a turn.
If he really is anything like my boy (and it looks like they're basically brothers) then those horses like to run, and they like to be on the other side of the obstacles, but they are really really sensitive and even when they go into crazy run mode, they do have a really nice half halt.
Anyways, smashing horse! Just make sure you vet him really well. Check out his hocks and entire forelegs specifically. Good luck!