I dont think it'll matter. Laws dont usually matter to poachers.
Here in CT you only have to check deer during firearms season, even if its a bow kill, or if you want a replacement antlerless tag you need to bring the deer down, otherwise its just tag & drag. You get caught with a deer without a tag its just like getting caught with one that hasn't been banded at a check point. The only plus I see to check stations is it helps the DEP keep track of kills & thereby herd population. They give you a report card with every tag but I know alot of guys that toss them.
I hunt NY too & they just want the tag on it till its cut up for consumption.