It seems to me that the general opinion here is that there is little to none weight for the decisions an interviewer does for candidates during the interview day. If I understood it correctly, if you get referred by e.g. a senior partner, chances are very high to get the chance of being invited to an interview. However, after that you are on your own? (Of course, this likely depends on the weight that the referring consultant puts on his recommendation.)
However, it seems very strange to me that applications by candidates with a strong recommendation from e.g. a senior partner are regarded the same as any other candidate after the screening. If I was a consultant or EM interviewing a candidate that was referred by my senior partner, it seems very clear to me that I would most likely not dare to reject this candidate.
Really looking forward to hearing your thoughts and of your knowledge on that matter!