Larkin gave Detroit a 1-0 lead at 3:47 of the first period, collecting a loose puck in the slot after Robby Fabbri's centering pass deflected off Stars defenseman Miro Heiskanen.
After Radek Faksa was assessed a double minor for high-sticking, Hintz tied it 1-1 at 11:13 with a one-timer on a 2-on-0 with Lindell.
"The puck just kind of turned over and they got a little bit sloppy," Lindell said. "I saw the opportunity to jump in when the puck bounced and I just decided to keep going. I was surprised that Roope was [on a 2-on-0] with me."
Said Red Wings forward Justin Abdelkader, "It gave them momentum, for sure, but we can't let that be the turning point. We talk about the next shift mentality and we have to make sure we turn the tables as quick as possible."
Mattias Janmark redirected a pass from Denis Gurianov that went under Bernier and off the right post at 13:25 of the first, but Red Wings defenseman Madison Bowey swept the puck away before it completely crossed the goal line.
However, Faksa scored a power-play goal with a deflection of Lindell's point shot at 1:36 of the second period to make it 2-1.
"He's been great all year," Bowness said of Lindell. "The assists are there now, but honestly, the plays have been there all year. The difference now is that the puck is going in the net now when he makes the plays."
Pavelski extended Dallas' lead to 3-1 at 11:42, forcing a turnover by Bowey in the neutral zone before skating in on a 2-on-1 and beating Bernier blocker side.
"Both the first goal and third goal were a direct result of poor puck decisions," Red Wings coach Jeff Blashill said. "We have to be better than that."
Pavelski appeared to score his second on a rebound in the crease at 4:10 of the third period, but Blashill challenged for goaltender interference, and the call was reversed after a video review.
Andrej Sekera scored a shorthanded goal into an empty net during a 6-on-4 at 17:04 of the third for the 4-1 final. He has a goal in each of the past two games after not scoring since March 23, 2017 (104 games).