I don't disagree with you about the situation regarding fact checking initiatives from social media moderation and safety teams and how their social capital and brand image play out against them.

In that particular case though the sources I provided were (1) an fact checking piece from a well known and respected information household and (2) a detailed and documented rebuttal of how the numbers provided by the other party (something like "millions of people died in Europe from RNA vaccines") were actually wrong.