To describe further let's take an example. Consider a person V, victim of an event or witnessed injustice. It seemed quite obvious that a person X who belongs to a group G is responsible for said injustice.
With emotion running high, they rightfully condemn the act but sometimes they wrongfully accuse the whole group G. The accusation is ungrounded and simply false because few peoples don't represent the entire group. Significant majority of G are good citizen which is not just a belief but can be empirically proved.
Now this is the time V needs sympathy and consolation, and it doesn't feel appropriate to pick on their remarks and correct them just because you want to be right. But at the same time it is a very awkward situation and keeping silence feels like approving wrong remarks.
What approaches or techniques allow for consoling V or validating their dismay while also not validating their inappropriate judgement of the group?
Edit: please also consider the situation in group setting where people are not calm enough to listen.