I can't find the new permit applications anywhere on the site you linked. Any other suggestions?
My guess: It will. New York and Pennsylvania are complaining about NJ's bears, and while NJ hunters and outdoorsman have darn close to zero clout in this state, politicians tend to listen to other politicians.
A periodic check of NJ's Fish and Wildlife website is probably your best bet, or call them and ask about permits: they're very responsive and accessible.
Good luck to all hunters!