It may be a game of semantics. We have laws in CA that could, theoretically, deny officers of an adjacent or cooperative jurisdiction (CSUs, UCs, etc.) the ability to enforce offenses within their jurisdiction, but, such has never occurred to my knowledge. It is standard procedure here for every incoming chief executive to grant authority to engage in the full range of legal activity within their jurisdiction.
While New Brunswick cannot revoke RU officers' peace officer status, it is likely that NJ law permits enforcement only within their primary jurisdiction absent an MOU with surrounding agencies.
I am aware of some states where neighboring agencies have engaged in similar hard line tactics. Sadly, it tends to be the residents that suffer.

