Certain biases are baked into Twitter's content moderation policies. For instance, on COVID and gender. It just so happens that conservatives statistically disagree with the positions taken by those policies significantly more than liberals.

Is that an anti-conservative bias? Well, liberals often make the argument that the drug war was prejudicial against black people because the laws specifically targeted drugs that were more common in black communities. If you accept this argument, by parity of reasoning, you should also accept that Twitter's rules are prejudicial against conservative views.

For examples of prominent cancellations, there was Alex Berenson, Megan Murphy, Jordan Peterson, among others. These people aren't all strictly conservatives, but they were banned for views that conservatives mostly agree with.