No. They don't "block news they disagree with". There are plenty of views FB disagree with on their platform.
They block news which violates their community standards, if and when they notice it. And, sure, they make mistakes.
As technologists we all know that moderation at scale is really hard and will always be incomplete and even inconsistent. If you try to automate it, the algorithms will probably be wrong more than they are right (like blocking the famous Vietnam war picture as child abuse). And if you make it human-based it doesn't scale and it is inconsistent (one man's "relevant historical facts", can be another man's "racist stereotypes").