A report from December 2021 factors into the reasons political right groups pushed Elon Musk to take over Twitter and privatize it to help them silence the political left:

Politicians and commentators from all sides allege that Twitter’s algorithms amplify their opponents’ voices, or silence theirs. Policy makers and researchers have thus called for increased transparency on how algorithms influence exposure to political content on the platform. Based on a massive-scale experiment involving millions of Twitter users, a fine-grained analysis of political parties in seven countries, and 6.2 million news articles shared in the United States, this study carries out the most comprehensive audit of an algorithmic recommender system and its effects on political content. Results unveil that the political right enjoys higher amplification compared to the political left.

In other words, a political right is operating on zero sum communication theory. When someone who disagrees with them is able to speak, the political right believes their own rights are being suppressed. Civil rights for all humans is treated as a loss to white nationalism, which rejects the idea of others having equality to them.

This helps explain the weird phenomenon where the political right get more leeway on Twitter than others to spread harm at the same time complaining that they are being over-censored. They want opponents silenced and until that happens they will argue that they are being censored by the very presence of any opposition.

If Martin Luther King were on Twitter today the political right would surely argue that until his account is completely silenced they will not be satisfied, much in the same way Tesla has told its black staff to “be more thick skinned” about abuse at work or quit.