Nj / Nyc
I have noticed that Vermont processes the cases relatively fast. From their point of view, it shouldn't make a difference whether you moved to NJ, since Vermont covers NJ as well.
I also agree that your file has huge chances to be transferred for an interview.
Now, the catch is that Vermont receives your address change information before sending your file to NYC.
Once the file reaches NYC , they delay everything a lot. I also believe that NYC sends their own files to Missouri to be processed, although they do not inform you about the Missouri transfer . Or maybe Missouri just receives case information and then they schedule you for an interview. As you see, the NYC path is complicated.
The only way to find out anything, (or a very small chance to keep things moving) , once the file reaches NYC, is by going to NYC Federal Plaza with an info pass.
These are my own thoughts, please do not consider them as an advice.