Yes, cognitive dissonance is particularly painful for some people. And for other people (or in other circumstances for the same people), there are "truths" that serve important functions for them, for the sake of which objective data may be bent quite significantly.

To your solution: in our house, our twist is the question, "In what way is this true for the other person?" Works for sibling quarrels, too!

...pronounced like the long vowel and first letter of the alphabet...