If I were his caddy, I would be standing off to the side with a smile on my face. I wouldn't expect recognition or initiate it by advancing to my player. That's just the way that I am though. If he came over for embrace and celebration, I would definitely be there to do that. But, I would not be the one to fist pump immediately and run into my player's moment. I guess I would rather celebrate within my own role, regardless of the advice that I gave or relationship to my player. I can be proud and overtaken by emotions for my friend/player without pouncing on him and doing 360° twirls on the green with my hand out to shake everyone's hand within proximity of my player.
Everyone is different though and I understood completely. Hell, it's the Masters and he was stoked. Again, it's just the "public perception" of Stevie and how easy it is to say "Oh there you go Stevie, soak up that win buddy. Yep, it was all you!". That's really all there is to it.
I have to say when Adam Scott made that putt on 10 there was a pretty big roar coming out of my Family room and it was a awesome end to the Masters. I could have cared less what Steve Williams was doing or how he celebrated. I think all real Adam Scott fans were probably doing the same thing I was.
Angry Tiger Fan was more than likely critiquing every little step and breath Steve Williams took at that moment. Seek therapy, you'll feel better!