I couldn't wathc the second bitless video.
As for the jumpers, the narrator said this was a Russian Federation jumping competition.. I have no idea if that is representational or accurate for that country.
As for the horse riding in the bit, I bet I could work with that horse and have him more responsive and on the bit. Maybe not, but the way the girl was riding has some to do with why the horse was strung out, on the forehand and stargazing.
Just made it through this video...I agree horse still doesn't look happy, still heavy on the forehand, still strung out, still tilting head to side, tossing head, etc. Looks like he could use a chiropractor visit more than a bitless bridle.