Correct. Says it right on the back of my permit. Not Valid in the 5 boroughs of NYC.
I figured that I would explain that it is no the application in big bold type, not lost in the fine print.
It is also on your permit as you say.
I have never gotten a satisfactory answer on this question: is your NYC permit valid outside the 5 boroughs ? I am going to assume that it is, so a person with a NYC permit has a super permit that allows him to carry his weapon from Long Island to Buffalo, yet I have to stop at the Tappan Zee Bridge, and cannot get it on to Long Island since I must go through at least two or more of the 5 boroughs.