If someone demonstrates their intention to shoot you, or is actually shooting, it is very likely indeed—in real life–they will continue to shoot if they are not immediately stopped.
New Jersey law doesn’t absolutely ban hollow points, but makes it virtually impossible to use them for self-defense outside the home. One may own hollow points in their home or property, but only “sportsmen” are allowed to transport them, but their guns must be unloaded and the ammunition removed and kept separate, and even in some circumstances, locked up. In addition, one must go straight to and from their range or hunting area and have a valid hunting license. The New Jersey State Police have a helpful article on the issue available here.
In other words, in the name of public safety, New Jersey makes the use of the most effective and safe handgun ammunition all but impossible outside the home, particularly for self-defense, and actually endangers the public. The laws are so convoluted and nonsensical that most people would be wise to avoid hollow points–even gun ownership–entirely. No doubt, that’s what New Jersey politicians intend.
Why are such draconian restrictions on hollow point ammunition dangerous? It has long been understood–and exhaustively proved through real world experience and ballistic testing–that round nosed, entirely lead (non-jacketed) bullets are not effective in rapidly stopping human beings. Their all-lead composition limits their velocity—too much velocity leaves excessive lead deposits in barrels–and they can be deformed, deflected, even stopped by thick clothing and a variety of types of cover. They simply don’t penetrate well, and when they do, tend not to cause immediately debilitating wounds.