I loved your instructor's French! I wish I could understand better.
Anyway, yes, I think you look loads better. I remember the other video now, and in this one you had more impulsion out of Coco and you had her more together , too.
The canter got better the longer you stayed in it. You sat up more and your hips started to go with her better. I doubt I could do any better, if as well.
I think she fell out of the canter because you mentally kind of went away from her. It could have been something as small as breathing out really heavily or betting to sagging in your back. I couldn't tell, except that you did seem more focussed on the instructor for that second and the hrose knew. There's a kind of presence and committment that comes throught the seat and rein when the rider is THERE for every stride. When the rider leaves, the horse leaves.
I though you handled the sudden change to trot quite well and overall you are a tidy little rider as far as I would know (not being hunter). I am always saying to folks to pick up more rein and put their elbows back toward the body more, but I think for hunters it's a different way of riding. In any case, Coco looked happy and that says a lot for the rider.