For example, recognizing bias is a component of critical thinking. Rather than recognizing one's own biases, the reactionary thinker will instead tend to recognize bias in other's assumptions and arguments. They apply different standards to their own thoughts than they do to others'. You're absolutely right that this isn't critical thinking, but it is definitely a result of half-teaching or half-learning the tools of critique, or an inability to be intellectually honest or emotionally available to being wrong.
To illustrate - one can be empathetic and choose to accept that other people have perspectives which work for those others, though not for themselves.
Keeping quiet about one's skepticism doesn't require one to have a superior attitude, or be arrogant.
And given the state of the mainstream media this is really saying something.