I see the parallel you're trying to draw here but it doesn't make a lot of sense. I'm pretty sure the US was going to war in Iraq no matter what NYT said, but I'm happy to be proven wrong.

The faulty NYT reporting gave the government a certain level of cover to allow them to do what they already planned to do. Parler was a forum for participants to discuss and actively plan sedition. And there's already violence threatened in the days around inauguration so it stands to reason it could have served the same role again.