Hi Method,
I see the logic, if you think of the game as only a competition. Students really do help each other. I went to business school for the connections of my classmates and other alums, and they continue to help me to this day. In fact, for the first 10 years I worked in finance, nearly all of my contacts came, in some way, through a b-school connection.
In the case of Stern, my guess is that location will be a more powerful driver than anything else in the job hunt. Stern is downtown. It walks, talks, and breathes like a NYC place. Darden is awesome, and has terrific investment management cred (for example, with Tudor Cap. Management, among others), but a very different environment than Stern.
I know, I'm being literal in responding to your example, and it may work with different comparisons such as Darden and UCLA, for example. I can only recommend over and over that prospective students talk to current students or recent grads, and to think long term, not just for the 1-year right out of school.
Best to you, and good luck with R2!
Betsy