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One person in particular was going for VC/Startup and it seems always had her sights on the GSB program. I don't think HBS was her safety but she applied into the Top 5 and I think got in everywhere (number of years ago). However, more often than not, those who are admitted to both, I see picking HBS. Though it seems to be not a quick decision and most dual admits take their time to make. Some of the things that play against Stanford is perception of the California culture and people wearing flip flops everywhere.... palm trees and west coast can be off-putting to someone who is comparing it with the America's oldest higher education institution. I prefer West Coast personally.
P.S. I also think all Yale undergrad alums pick GSB... i believe they have to or their diploma gets shredded
Sorry forgot to follow up that I chose Harvard in the end! Main factors were the case method, larger class size, closer and cheaper to get home to see my family. I also felt at home there, didn't really gel with the laid back nature of Stanford. In my dual group (mostly Europeans, all living in the UK), 8/10 chose Harvard over Stanford, and those who did choose Stanford got the KH so understandable why they chose a free MBA.
Also, 100% my grandparents already told everyone I was going to Harvard and didn't quite understand when I told them I was trying to choose between Harvard and Stanford why I would even consider Stanford