My computer is a little slow on playing videos so forgive me if I'm wrong here...
The little filly:
I like her breeding, a trainer that I used to start colts for used to show "Rooster" he is a great horse! She seemed unworried about riding in a big space, some colts like to run off a little when in a open space by themselves. She seems eager to stop and it looked pretty good. She also didn't seem worried about the lead change and looked fairly smooth....but then again the video is rather fragmented on my computer. One thing that needs improvement is her turn arounds, it looked as though she was swapping ends and not really planting her pivot foot. I realize that with a young horse that planting that foot isnt quite as important as simply moving the other foot around it, planting it will come with time. But swapping ends is a problem, she's losing her forward momentum. Easy fix though...
Also did you notice the tail swishing?
The gal riding in this video did not do this horse any justice. Just note she never changed leads on him and never showed any speed transitions. Also with an older horse that has been showed extensively he my be "show smart". He was not a great stopper, this may be due to the rider. She let him just fall into a kinda stop. And when she attempted to stop him a little harder, he seemed a little dumpy in the front. His turn a rounds are a little to be desired. Even though he does plant his pivot foot he looked as though he hopped around in the front with his head up...this will not score well as you know. I did like that he loped around easy and up in his bridle.
I will stress again that the videos don't play well on my computer and I probably missed a lot :)