He did what he had to. Plus in the news story his 12yr old son was on the ski right behind him. Can't risk getting taken out then having the animal go after your kid. Only thing I would have done different was once I knew my son was safe, go back and put on in the head so the animal doesn't lay there dying / suffering for however long it takes to bleed out.
I actually surprise a black bear once coming around a trail we were hiking. Even though I had my pistol and he was only 40ft away, I grab a stick raised my hands (like dude in the last video did) and started screaming like a cave man as my kid threw rocks at it. It worked, that bear ran so fucking fast away from us you could hear it breaking branches and shit for 100yrs. It could have EASILY taken us out if I didn't have a gun, but lucky he / she wasn't trying to fight.