Blake said Quick being involved in the trade caused disappointment and shock among the Kings players, including captain Kopitar and defenseman Doughty, the last remaining members of the 2012 Cup team. Together with Brown, a forward who retired after last season, Kopitar, Doughty and Quick were the pillars of those championships.
Quick's hatred of losing -- and giving up goals -- set the standard in their locker room.
"I've never seen a guy that competitive, that much of a gamer, a guy that revels in opportunity in big games, shows up when it matters," said Golden Knights defenseman Alec Martinez, a member of the 2012 and 2014 Cup teams. "I guess I've never seen the consistency in stellar goaltending over an extended period of time that he had.
"To put it simply, he was making saves, a few of them come to mind [during] that '12 run that I don't think any goalie, let alone human being, has any business making."
That also applied to practices, when the puck ending up in the net behind Quick often resulted in a "few stick breaks and a few cuss words," according to Flames forward Trevor Lewis, also a member of those championship teams.
"He was always out there to compete," Lewis said. "I think that's what made him so good."
In the 2012 Cup Final against the New Jersey Devils, Quick outdueled Martin Brodeur, a four-time winner of the Vezina Trophy as the NHL's top goalie who was inducted into the Hockey Hall of Fame in 2018. In the 2014 Final against the New York Rangers, Quick bested Henrik Lundqvist, who won the Vezina in 2012 and appears destined to be voted into the Hockey Hall of Fame when he is first eligible later this year.
Flames coach Darryl Sutter, the Kings coach in 2012 and 2014, said Quick took those head-to-head showdowns personally.
"That was his challenge," Sutter said. "He wanted to be better than the other goalie."
Knowing Quick's competitive nature, Sutter had a prediction for his next chapter.
"His whole thing will be he wants to show somebody (they're wrong)," Sutter said. "I guarantee that."
Just imagine if the Golden Knights face the Kings in the playoffs. They do have one regular-season game left against each other, on April 6 in Las Vegas.
Whether Quick makes his return to Crypto.com Arena with in the postseason remains to be seen.
But there seems to be little doubt he'll be back there someday to be honored similarly to Brown, who had his number retired and a statue outside the arena unveiled Feb. 11.
"I don't have the final say in that by any means," Blake said. "But by far, he is just as deserving, as a few other guys will be in this organization."
NHL.com independent correspondents Aaron Vickers and Paul Delos Santos contributed to this report