Yes, that is part of it. I pretty much abandoned the thought of someone being wrong and someone being right. We all have this bias, that we are more intelligent then others. While on average, we are just average.

>I pretty much abandoned the thought of someone being wrong and someone being right.

Frankly, this sounds like taking a good idea too far. People around you will make assertions about objective reality that are beyond any reasonable doubt incorrect, sometimes dangerously so. Considering them wrong can be important to prevent harm to yourself, your family and your job or business. Beyond that, calling out people you care about on their being wrong can prevent harm to them and their respective families and jobs even if at first they hate you for it.

Empathizing with people who are wrong for understandable reasons but still being keenly aware that they are wrong seems to me like a much better long-term strategy.

“You keep using that word. I do not think it means what you think it means.”

It's probably best if you point out that "empathic" and "emphatic" are different.

Or, as others have pointed out, "empathetic".