I would say Mr. Carter definitely sets a benchmark for the term "professional hunter". He put his client up close to the animal for the shot, explains why the shot wasn't made successfully, without blaming, chases the wounded elephant without hesitation into thick brush. He is using the best equipment (double rifle) just for these situations and doesn't take a step back on either of his last two shots. I don't think it is luck as much as skill. Did you notice he turned to see if the cameraman was there and had gotten the shot on tape? That is cool.
I wish I could afford the daily rate to hunt with this gentleman just for the experience of getting to know him and hunt with him. To me, the measure of his skill is the immediate response of the cameraman running in Mr. Carter's footsteps. THAT is trusting your life in another man's skill.
Incredibly well done Mr. Carter and to your camera crew, too.
And, as I'm sure Mr. Carter would point out, there are others who can also measure up.
Wow, what a video.