This was at the height of the John Cena hate era. He had been WWE champion for nearly a year at this point and everyone was dying for someone, anyone, to take that belt off him. And then came Edge.
Everyone had almost forgotten the fact that Edge even had the briefcase; it had been 10 months by this point.
So when Vince McMahon came out to announce that Edge was finally cashing in it was a huge shock, and a sigh of relief to the many who hated Cena at this time.
I remember watching this live and being furious that Cena had once again overcome the odds, so for Edge to come out and finally take the title from him it allowed me to sleep easy that night and decreased my Cena hate just a little.
Although when he beat Shawn Michaels the next year, it was raised again.