The Devils have allowed four short-handed goals in the first 40 games.
"I'm disappointed with giving up two short-handed goals for sure, but we ended up scoring our own two [goals] in the last minute (of the second period) that they're not happy with," New Jersey coach Lindy Ruff said. "We're a group that just stays with it, believes we can get back in it, creates some opportunities."
Jonas Siegenthaler tied it 1-1 at 17:06 with a sharp-angle shot from the goal line that went in between Kochetkov's right pad and the left post.
Max Pacioretty restored the Hurricanes' lead at 8:50 of the second period when he followed his own shot off the end boards and his backhand centering pass deflected off Devils forward Yegor Sharangovich past Vanecek to make it 2-1.
Hischier was awarded a goal at 19:04 after he was hooked on a breakaway by Carolina forward Jordan Staal with Kochetkov pulled for an extra attacker for the 5-3 final.
The Hurricanes outshot the Devils 24-15 over the first two periods but were outshot 7-4 in the third, including a 10:21 span without a shot on goal.
"That last minute (in the second period) killed us, there's no doubt, but we didn't respond in the third," Carolina coach Rod Brind'Amour said. "I don't know if we had a good scoring chance in the third, but we didn't get enough out of the first two periods when we played really, really well."
NOTES: Siegenthaler has two goals and 14 points this season, tying his career highs set in 2019-20 with the Washington Capitals and last season with New Jersey, respectively. … Hischier has 11 points (six goals, five assists) during an eight-game point streak. … Kotkaniemi scored his first NHL short-handed goal. … Pacioretty has three goals in three games after making his season debut Jan. 5. … Carolina forward Stefan Noesen had one hit in 8:29 of ice time after missing two games with a lower-body injury. … Devils defenseman Damon Severson had one assist to extend his point streak to four games (one goal, three assists).