Texier said he did not call for the puck, but Bemstrom found him in the right face-off circle anyway.
"I was wide open," Texier said. "He's a good, skilled guy who can make some plays, so he knows."
Hamilton tied it 1-1 at 4:32 after he took a drop pass from Warren Foegele and snapped a shot from the top of the right circle.
Dzingel, who played 21 games for the Blue Jackets last season before signing with the Hurricanes as a free agent July 12, made it 2-1 at 11:43.
After Murray's stick broke in the Columbus zone, Carolina forward Martin Necas gathered the puck, skated through the slot and passed to Dzingel. He slid around the defense and Korpisalo before shooting into the open net.
"We had a great first period," Dzingel said. "We were buzzing, playing our kind of hockey, and in the second period we were on heels and that's what killed us."
Aho extended the lead to 3-1 at 12:32 when he tipped a Brett Pesce shot.
Murray made it 3-2 with a snap shot at 12:57 of the second period.