I think the idea is for the more popular hospitals, there is going to be great competition for their new grad programs and not everyone applying will be able to get in. Just think about the # of people on this forum who are looking at hospitals like NYP, Mount Sinai, NYU, etc, and there are a number of NY nursing schools graduating nurses every fall and spring. So apply broadly!
For those who are completing nursing school outside of NY, I think it might be wiser to gain your experience more locally and then move to NY. Also, if you are going for your ADN, think about getting your BSN or at least be a good deal through the curriculum. The goal is to present the best application possible, and I think for outer staters, it is to gain that experience.