Instead of asking people why they're asking you "to be more empathetic", maybe you should ask yourself why you're prompting such a request?
> "Usually, 'be more empathetic' was a veiled request for me to modify my behavior or thinking towards someone (e.g. they thought I was rude to someone and wanted me to apologize and change my behavior)."
And you actually illustrate the entire point of the post.
Imagine that someone's upset with you and tells you to be more "gropulent". Many people have said this to you, but gropulence doesn't come naturally to you, and the term is bandied about in a wide variety of situations, making it hard to pick up context clues. There are people who call themselves "gropules" who can't explain how they use gropulence to support the claims that they make about others, and they sound an awful lot like psychics, who we all know are frauds.
How would you start learning to be gropulent?
I hope you'd be as curious and thorough as the author of TFA.