The daytime talk show is coming back Oct. 16, but the show's three WGA writers — Chelsea White, Cristina Kinon and Liz Koe — have turned down an offer to return with it.
As the article notes, writers for her show are governed under a separate contract which was not being struck. It was actually a cool move on her part to respond to the backlash with further solidarity and push back the show, since no one on her team was actually called to strike.
Also I find it weird that it's "struck" and not "striked" like how being hanged is very different from being hung.
Her show might not have been struck off, but her 3 co-writers were all members of the union and actively picketing outside her show's studio. There's no way she didn't expect it to ruffle their feathers - in fact, she tried to keep it secret and didn't tell them, instead they found out through audience ticket giveaways online.
As the article notes, writers for her show are governed under a separate contract which was not being struck.
No, you're misunderstanding that portion of the article.
The Actors agreement allows talk shows to continue with SAG/AFTRA members, but the writers strike covered the writers on the show. They tried to restart production without writers (which is possible, Late Night did it in the last writers strike).
So even though the Actors strike is still happening, shows like this can use union actors (like Drew Barrymore) now. And they can use union writers now, too, because the writers strike is over.