This is the complexity of language and communication, but in this case it's pretty clear. "You are wrong" is criticism on and aimed at the person.

If that means blunting objections as "that's incorrect" rather than "you're wrong", so be it. Two decades' experience, which is a tremendous run in online forum space, is quite difficult to argue with.

(Not that I don't occasionally argue with mods over guidelines, intent, and/or effects, not necessarily on this specific rule.)

If it is rainy near me, and clear skies near you, and I tell you the sky is grey, without corroboration from the weather report, I am wrong to you. If you say the sky is blue, without corroboration, you are wrong to me.

Gravity falls down. On Earth.

The boiling point is 100 degrees. Unless you're using Fahrenheit or Kelvin.

I find that when refuting people, instead of outright debasing their position with a right/wrong dichotomy, it works better to illuminate the possibility there is a larger breadth to the viewpoint. In this way, both views can generally share the same space. Healthily, if one can add such a descriptor.