No, that is absolutely not a misconception, and is backed by peer reviewed research such as https://www.hks.harvard.edu/publications/why-stigmatized-ado....

What you may be thinking of is research showing that when kids get to know each other, the ones who will become socially dominant tend to be aggressive early. But once they achieve social status, they usually turn around and become far nicer. With further aggression limited to those who have not accepted their dominance.

The most common scenario for continued aggression is someone near the social bottom, who is attempting to reinforce that there is someone who is still firmly below them.