Such criticism would be yelling or calling the child stupid. Discipline does not mean parents aren't allowed to show anger. Discussing anger lets children know it is acceptable when it is controlled. This is where many parents go wrong. They either don't control their anger, hence abuse, or they don't allow the child to see and discuss the anger.
Anger is an emotion, and emotions are real no matter that some say certain ones are bad or good.
They are neither good nor bad, they just are. At this point, it is important not to give advice on how to correct the situation if the child has the reasoning skills to do so alone. When disciplining children parents should use natural and logical consequences. There probably is no further need for any disciplinary actions. Parents do not need to yell at, spank, or ground the child.