Point set up at the crease and redirected a pass from D'Astous into an open net behind Kochetkov to make it 3-2 at 1:20.
"There's a lot of accountability on this team, a lot of guys speaking up in the room after that first period," McDonagh said, "We were embarrassed. You feed off that first shift [of the second period]. Obviously they score a goal and they set the tone right away for us."
Finley tied it 3-3 on a breakaway at 16:36 when he put a rebound past Kochetkov's left skate after his initial shot was stopped.
"The first period wasn't great, but I thought in the second we came out hard and stuck with it in the third," Finley said. "That just shows the character in this room. [Dominic] James was driving our line all night. It was a team effort."
Svechnikov regained a 4-3 lead for Carolina at 2:47 of the third period, skating in on a 2-on-1 and lifting a pass from Mark Jankowski over Vasilevskiy's left pad.
"We've got to be hard to play against," Staal said. "I think we got a little soft. It ended up being a shootout but in the wrong direction for us."
McDonagh tied the game 4-4 at 3:13 after breaking through two defenders and slipping the puck between Kochetkov's pads.
"It was a good 40-minute game, we're trying to get closer to a 60-minute game here at home," McDonagh said. "But obviously a good response in the end."
Guentzel scored into the empty net at 19:33 for the 6-4 final.
"Three in four nights, you can feel it," Brind'Amour said. "This is part of the schedule that you have to grind out and we didn't tonight."
NOTES: With an assist, Lightning forward Nikita Kucherov recorded his fourth calendar year with at least 110 regular-season points and tied Jari Kurri and Peter Stastny for the second-highest total by a player born outside North America. The only players with more are Leon Draisaitl and Jaromir Jagr (both with five). ... Point has eight points (three goals, five assists) over his past six games. ... Hurricanes defenseman Jaccob Slavin was a healthy scratch as Brind'Amour did not want to play him in back-to-back games as he continued to work his way back from a lower-body injury.