It's true that coordination doesn't imply the news is false. But a lot of this Times coverage comes across as an attack.
For instance, they published an article "‘No Morals’: Advertisers React to Facebook Report", which is just a bunch of color commentary by some ad people they interviewed. It's pretty easy to see how you can go interview a bunch of advertisers and quote the ones who are most negative on Facebook to fit a narrative that you have planned to release together with other stories.
Which is obviously coordinated, because they released the same day.
https://www.nytimes.com/2018/11/15/business/media/facebook-a...
They also published on how "New CompSci grads don't want to work at Facebook", for which it's similarly easy to find people with that opinion.
https://www.nytimes.com/2018/11/15/technology/jobs-facebook-...
If they wanted to end the articles with "Full Disclosure: Facebook is our competitor" then go for it haha. Maybe I'm being naive, but I think it's worth pointing out that just like there's a behind-the-scenes at Facebook, there's a behind-the-scenes at the NYTimes too.