There already weren't any "accidental" bankers. The only people who got the interviews and the positions were the people who hung out with the other wannabe bankers and spent all their time at the career center going to events and practicing for interviews. Sure, there were some sociology majors, but it wasn't like they put out their cigarette, pulled on a suit and walked across the quad from the social science building to a bulge bracket info-session just out of curiosity. They knew what they were doing, had done the prep, worked the internships, and hung out with the bankers. They just happened to be interested in sociology (and everybody knows you won't actually use any knowledge from your Econ degree as an analyst at a bank).
Certainly I agree with you, however I would choose different words.
Lets just say that the right skill set, network and demonstration of ambition (anything that makes your CV looks better) is what counts.
Just hanging out with wannabe-bankers is definetly not going to cut it.