Well the whole quote was
“It was tough with the coaching change. I loved playing for him,” Stützle said. “He meant a lot. I’m a really thankful person and a loyal person. And a lot of the guys wouldn’t be here without him. And a lot of our guys wouldn’t have signed those contracts without him.
Followed by
“It was totally on the group in here and the way we played. I don’t think it’s ever on the coaching staff,” said Stützle. “And we take full accountability for that.”
Within the context, he's expressed his thanks for what DJ did for him and the team, then took ownership of why the coach was fired.the problem comes when you separate the quotes from the context.
The two quotes jump topics. The second quote doesn't add context to the first quote. Even with it present, the whole could still be interpreted as:
"DJ was why the core signed to stay here. But, we let him down and it's our fault he got fired. We take accountability for it."
The 2nd quote doesn't clarify whether Stützle is saying that the core signed contracts to keep playing for DJ, or whether DJ developed them into players who warranted such contracts.
That's why Stützle had to clarify that it was the latter, during the scrum today.
If Mendes had left out, "And a lot of our guys wouldn’t have signed those contracts without him.", the intended meaning would have been clearer. It would have simply come off as Tim expressing thanks to DJ. (His editor should have caught that).
TSN1200 then tweeting the paraphrased snippet of what Stützle said Giroux told him about the new system, with zero context, made Mendes' tweet about "media literacy" funny, as well. "I can't believe fans are sharing a quote without context, as my media colleagues share a quote without context!"
With that said, I think the core reason for why the fanbase is questioning these comments coming from players is because of how shocked they seem to be by DJ's firing, and how glowingly they keep talking about their experience playing for him.
"All you did was lose. Why did you enjoy that so much? It wasn't great for us, the people buying tickets."