I know what you mean, and that can be frustrating in some situations. However, it is possible to hold your evidence over a person's feelings unnecessarily. People can be irrational at times, and knowingly so, but still want to be understood, and perhaps more so, valued enough that their irrationality is trumped by being important enough to another person.
I think NVC is a useful tool but you need to be able to go outside the bounds of the framework it provides at times.
If someone is screaming and wailing because their mother died, you would never tell them their reaction is unwarranted because all humans die eventually and 91.3% of humans have a less exaggerated response to this news. Oh, and you and your mother didn't get along very well.
There are so many variations of this example, some less exaggerated, but there needs to be wiggle room for emotional expression and responses to events and experiences in life.
I'm awful at it, warranted, but most people I've known really need this at times - if not at most times.
Here is a detailed list of the last 100 times you have screwed up in this way. I've also prepared a short video overview that summarizes the evidence against you.