I had to do one of those 360 review things.
On the whole I scored very well. My staff think I'm supportive, knowledgeable, approachable, fair, take responsibility, a good decision maker etc but almost without exception I scored badly for empathy.
I think I am empathetic, in that I do feel it quite strongly when they are having struggles in or out of work, I do allow a lot of time for personal things (supportive?). I don't get over involved in their personal lives. I know their kids' and husbands' names, but I probably wouldn't remember to ask how their music exam or anniversary dinner went. Is that what they mean maybe?
Does it matter?