Well, i think you could
1. get some better video shots and
2. get some more action videos
and then you can upload them for critique. Or else, it's a little bit unfair for anyone to critiquing that. Unfair for your trainer and your choice, since you believe he is doing well and unfair for the others, since it seems that there is not a holistic picture of the training. That (1&2) would help you avoid a lot of explanations, right? :)
And one more thing. Why do you bother for critique? I mean, you have your horse, you have your trainer chosen after research, you are there everyday, checking him working on your horse, you are riding his work (horses) and you see the progress. Whatever we see is just few seconds from all this.
Suppose that everyone was telling you that your horse doesn't worth a penny (which is not the case, i find him very good horse, strong and willing), would you accept it? No. Would you had seconds thoughts about him at night? No-again. So, don't take it personally, it's just people's opinions around here, sometimes focusing more on the techniques and arguing between them, than actually being impolite to you.
I believe that everyone here wants the best for your horse. After all, the critique you got for him, was really positive, right? :)
Horses have a great sense of humor...