In includes phrases like: "If all you know is climate scientists then every weather event you blame on climate change. If not climate change, what is to blame? [...] Foolish policies."
"You could have had this amount of warming and not had these fires."
"Bad policies were the biggest cause of this year's fires, not the slightly warmer climate."
"While climate change is a problem, Schellenberger's new book explains it's not an apocalypse: natural disasters aren't getting worse, in fact they're getting better. [...] A small change in temperature is not the difference between normalcy and catastrophe."
To summarize: the video heavily implies throughout that the fires are not caused by climate change, and literally says so a couple times. Facebook did not falsely attribute that claim. They didn't fully summarize the entire video, but I don't think the fact check is intended to - it just pulls out one particular claim it wants to address.
Aside: this video wasn't that bad, and I don't know if it needed a fact check, but that's not what the lawsuit is about. It did acknowledge that climate change is real and happening. However, it exclusively talked about climate change as a warming phenomenon, which is not the main issue and is a misleading characterization of why climate change is bad. Warming causes many other issues which are much more harmful than just "a small change in temperature". The discussion about forest management was valid and important, it should just be happening at the same time as discussion about climate change.
Edit: Here's the original Facebook post where you can see the fact check: https://www.facebook.com/permalink.php?story_fbid=1015712197.... I believe this is visible even if you don't have an account.
Here's the fact check: https://climatefeedback.org/claimreview/climate-change-fores....
Here's the fact checkers response to the lawsuit: https://climatefeedback.org/responding-to-stossel-tv-video-o....