That extended trot in particular is horrid (OTF, shovelling the front end directly into the ground, high hand to try to fix the front end and a passive seat). And judging by the well developed muscles on the underside of the necks of the grey horses I would say that there is a high chance they're ridden hollow with a pulling hand.
Also, in a correct, classical piaffe the hind legs only come up a hoof height, not to the fetlock as seen in the pictures, a clear indication of a bouncing croup and loading of the forehand. The second piaffe is also clearly triangulated and OTF.
On the black horse, I've seen children eq. riders ride similarly.
I fail to be impressed by smoke, mirrors and a book. My horse doesn't knash his teeth in the half steps, manages to keep his hindlegs under himself in an extended trot and I don't have to ride in a saddle 2" too small to keep my leg under me. And I've never done a lick of training where people label themselves as "classical". Traditional German training, yes, but none of this floofy classical stuff. It's the Parelli of the dressage world as far as I'm concerned.
They say money doesn't buy happiness -- well happiness doesn't buy horses!