The phrase "you are wrong" is one of the fastest ways to get someone's back up against the wall. In your example, completely removing that phrase doesn't change the meaning and it eliminates negativity.
That's why publicly saying "you are wrong" is so powerful (and so dangerous). The powerful are not used to be challenged in public. They typically respond by a combination of
- reframing, changing the subject
- attacking, belittling you
You can see this in action in stand-up comedy with hecklers. If you anticipate this reaction, you can turn this around very effectively in a professional context (not in standup-comedy though): "I note you are NOT answering my question, instead ...".
That's why publicly saying "you are wrong" is so powerful (and so dangerous). The powerful are not used to be challenged in public. They typically respond by a combination of
- reframing, changing the subject
- attacking, belittling you
You can see this in action in stand-up comedy with hecklers. If you anticipate this reaction, you can turn this around very effectively in a professional context (not in standup-comedy though): "I note you are NOT answering my question, instead ...".
With great power comes great responsibility.