I voted "no", but I'm not sure.

This is an quote by Steve from his IMDB profile (although, if you look for it now, they removed half of the quote):

"He tells his camera crew to always be filming. If he needs help, he will ask for it. Even if he is eaten by a shark or croc, the main thing he wants is that it be filmed. If he died, he would be sad if no one got it on tape."

Although, I would not like the media to be the ones to play the video. I think it would be more acceptable if Animal Planet did some kind of tribute segment and showed the video.