"There are no words", said Flames' forward Kris Versteeg.
The Bruins, who were winless in four games against the Senators in the regular season, will try to force the series back to Boston with a victory in Ottawa in Game 5 on Friday night.
"They were true to their word saying they probably deserved a better fate in some of the situations", said Carlyle.
"There are a lot of positives here".
Calgary was the first team eliminated from this year's playoffs.
When Calgary threatened to gain momentum, Anaheim's leadership and poise prevailed to carry the Ducks to a four-game sweep of the Flames in their best-of-seven Western Conference quarterfinal.
It took awhile to work through their shock, regain their equilibrium and sense of urgency but the Flames went on their shield, drawing to within one on Sean Monahan's fourth of the series.
The Ducks put the puck on net through traffic to score four unanswered goals en route to their biggest comeback in franchise history.
Two goals and three assists in his first three playoff games has Theodore feeling he belongs in the high-stakes hockey environment.
It was a listless beginning, more reminiscent of a 55th game of an endless season than an elimination game, with their season on the line. Brian Elliott continues to struggle against Anaheim, stopping just 22 of the 27 shots he faced.
With veteran backup Chad Johnson the other option, Gulutzan didn't name his Game 4 starter until Wednesday morning. "That one, right off the bat, I still can't explain how it goes under my pad there".
Elliott acknowledged that the quick hook was "definitely a short leash".
"I'm definitely proud of how they finished that one".
"Nobody in this room should hang their head, " said Calgary skipper Mark Giordano.
"I know it goes in the record books as a sweep but, man, I thought we played really good hockey". In this series we had a little bit of everything. They scored two goals in the opening seven minutes to take the crowd out of the game, and did not get goaded into any scrums or roughhouse play.
"They find ways to win". But we have nothing to be ashamed of. "We battled hard every game". "I just felt at that time that maybe we needed a spark". I think we have a great team. Moving forward, they should be fine with or without Fowler.
"But coming back next year, this is an exciting team to be on".
Imagine the most nightmarish start imaginable and then double it.
The presence of the expansion Vegas Golden Knights - who are expected to act as a goaltending broker for a number of teams - further complicates a summer where the annual game of goalie musical chairs was anticipated to break out. Jon Gillies backed-up Elliott while Johnson healed.
Gibson redeemed himself after being pulled during the second period of Anaheim's come-from-behind 5-4 victory over the Flames in overtime two nights earlier. Ideally, the Flames want a young nucleus to evolve together and at some point, that will require them to feed a young goalie into the lineup.
Elliott, who will be a unrestricted free agent on July 1, was desolate post-game. Bozak, who had the winning goal in Game 3, got Toronto within one with 26 seconds left, but Washington held on from there.