The decision to remove posts rests with the company. Not the fact checkers. So if you consider this to be "censorship" to begin with, this act doesn't target the body responsible for the censoring. They literally cannot remove posts they tag.
To be fair, Zuckerberg never wanted fact-checking in the first place.
Like every dipshit fanatic ideologue, he's got his theory of how the world works and thinking he's right means more to him than reality. The problem years ago was that his ideology ran into reality, and it turned out his creations had adverse side effects that caused a whole host of damage to a whole host of people and things, so he was pressured to do something about it.
Remember all those meetings, Congressional hearings, where Zuck looked a bit awkward and confused, rabbit-in-headlights unable to process that his company might actually be a problem and how to do anything about it? Well, Zuck's answer has been to decide the problem isn't his company, it's everyone else, and now he's got an opportunity to make that stick. If that means more depression and anxiety for teenagers, more suicides, civil discontent, fascism and the odd genocide promoted on his platforms, that's just more opportunity for us to learn how awesome he and Meta actually are.