NYU is probably the hardest school to get into in the country right now. From my PI, the chiefs/residency/program directors at my hospital (big academic center in the northeast) all know this. Apparently they are weighting NYU applicants quite heavily because of this.
No idea if this is true everywhere, but my PI has been making the argument that the reputation of NYU will only increase as years pass and more people apply. I don't know when the residency director ranking list that people refer to was made, but my guess would be that residency directors are very aware of how qualified you have to be to get into NYU.
FWIW, I am in at NYU and my columbia interviewers gave a very strong impression that I'd get in a Columbia (but who ****ing knows its so random), so I've been thinking about this a lot over the last months.