I feel that it was for the initial front coming from the south and a new set of watches should have been issued from the front coming from the west. There was quite a bit of time where the initial wave that was in the afternoon was significantly lessened, while the 2nd wave (from the west) was the main one that I thought was the one that had the higher potential in NJ to form tornadoes.
While they did have warnings I am surprised they never reissued new tornado watches after the initial ones.