It's not just the crowd of people standing around, it's the whole "control room" setup with the electronic walls of prospects, rows of identical monitors, etc. For contrast, here's the Patriots' war roomn:
Behind The Scenes: Patriots Draft Room
I doubt it makes a difference either way--as others have said, the Bills had a solid draft. And let's be honest, if the Patriots had set up a deluxe hi-tech draft bat cave and the Bills were scribbling with dry erase markers in the world's most generic conference room, we'd be laughing in the other direction. But still, wow what a contrast.