Draisaitl completed the hat trick during a 5-on-3 power play to trim the lead to 6-5 at 9:18 of the second.
"It doesn't matter. It doesn't matter," Draisaitl said. "You can't lose 9-whatever, a game like that. Just leave it at that."
Lindholm extended the lead to 7-5 at 2:55 of the third period. His goal came 18 seconds after Markstrom made a sprawling pad save on Evander Kane.
"I thought probably the turning point of the game was Marky's save, and then we got the seventh goal right after that," Tkachuk said. "Lots of guys got rewarded tonight, but I think that play probably should go down as the winning play for us. It was obviously a great play by a great player, and we needed that."
Backlund made it 8-5 at 6:01 with a shot glove side from the high slot, and Dillon Dube shot over Smith's shoulder from in close at 14:23 for the 9-5 final.
"We played bad. We played poorly," Hyman said. "I think it was nine even-strength goals against, right? What did we have, three power-play goals? 9-2 at even strength. Media is probably going to blame our goalies, but you can't blame our goalies. We hung them out to dry. Just all-around poor performance."
NOTES:Draisaitl has scored 47 goals this season, which is tied with Auston Matthews of the Toronto Maple Leafs for the NHL lead. ... Flames defenseman Noah Hanifin was playing in his 500th NHL game. He had two assists and was a game-high plus-5. ... McDavid and Draisaitl were each minus-4. The rating was a career worst for McDavid. ... Tkachuk (four goals, seven assists) and Gaudreau (three goals, eight assists) have each scored 11 points during a four-game point streak.