You guys seem surprised by this. In my experience, talking to FF's, bosses and Chiefs in areas where PAPD patrols, they are VERY territorial. They'll come out to help in a situation like that fuel truck that overturned on the Conduit at the Van Wyck a few years back. But, they do not like it when FDNY comes around to one of their spots. I'm not sure if they were involved with the Air Train accident on the Van Wyck when the motorman was crushed by the conrete blocks in the train.
I can remember notifying them one day we had a reported car fire in the Holland Tunnel, and that FDNY and FDJC were responding. The cop on the other end of the phone blew a gasket. Have you ever seen the size of the rig they have for the GWB?? That right there says they don't want Fort Lee or the FDNY nosing around.