I think you guys are making the programs rank list of applicants into something that is too complicated and concrete. Most programs I am sure have one person enter the rank list into the computer, probably the chairman or program director, or both together. Most departments are monarchies and I am sure that if you went back after an interview for a few days and made a good impression, the 1-3 people in charge of the list may bump you up a few spots on their list. Conversely a bad impression may knock you down a few spots also.
From what I have seen, most departments have 2-4 faculty running the show and 10-15 guys who are working their way up. I doubt that all 20 attendings would have to sit and rerank the list every time. Anyway, thats how I see things and my opinion is a second look is 40% to help, 40% worthless and 20% negative, overall a winning proposition. That said i wouldn't waste my money, unless I asked the program first if this would help and the program in question was in my top 2-3 choices.