If something is going to be taken out of context, then it will be no matter how much effort is made and if people are interested in the sport, they are eventually going to know when nature takes it's course and the word "predator-prey" relationship hits home.
mostly, i don't see a problem with the video. most of the demographics that are going to see it are either falconers or hunters themselves and denying them a video because some idiot might hit "dislike" on youtube doesn't really make sense to me.