Copp had an assist on Vatrano's goal and finished with three points (one goal, two assists).
Carolina coach Rod Brind'Amour said he was unhappy with Lorentz' decision.
"Just can't take a penalty there," Brind'Amour said. "We gave them the power play there and that got them going right away. We kind of did it to ourselves a little bit in the first. We got kind of playing again, but by then it's too late. Give them two, it's tough to come back."
Goals from Adam Fox and Mika Zibanejad gave the Rangers enough of a cushion to withstand the Hurricanes' push in the third period that included Teuvo Teravainen scoring at 6:33 to deny Igor Shesterkin his first NHL postseason shutout.
Copp's first goal and point of the series at 11:10 restored New York's three-goal lead. Carolina's attempt at damage control did not overcome goalie Antti Raanta's first bad goal-against of these playoffs, his save on Ryan Lindgren slipping between his pads and Zibanejad poking in the rebound, or an interference penalty on defenseman Brendan Smith at 17:59 of the second period taken out of pure frustration.
RELATED: [Complete Hurricanes vs. Rangers series coverage]
It was the Rangers who played a smarter Game 4 while bringing the physicality with two minor penalties in 60 minutes.
"We're not out there trying to catch guys at all and we're not trying to play stupid or anything," Copp said. "We're just trying to finish our checks when we are there and play physical when we can and make smart decisions. At the end of the day, them taking the two-minute instigator changed the course of the game. We score on the power play and now it's 1-0 and scoring first has been huge in this series. … It was a good hit. Their response warranted a penalty, and that was a big play in the game."
Fox said scoring the first goal was key.
"We were creating chances and got the lead and then didn't sit back on that. I think we created a lot more chances, didn't just sit back on our heels, get the puck out of the zone and live to see another shift," Fox said. "When you're up 3-0, the other team is going to push a little, create chances, and they did that, and we got the saves when we needed it. But overall, it seemed like every line was able to create chances, was able to give the team a spark if we needed it. I definitely say it was one of the more complete efforts we've had."