Empathy seems to have different facets.
A basic differentiation is how the empathy is experienced and the source of the empathy.
It can be experienced in a more cognitive or reasoned way. I imagine you must feel this way based on the situation you are in. Or in a more felt way. I imagine myself in your situation, and feel this emotion or state based on it. Often, there is a combination of both of these.
And it can come from a very human resonance. I recognize in myself what I imagine you feel, or what I would feel in the situation I imagine you are in. Or it can come from a perceived oneness where there is less or no separation. My center of being is more in the awareness that everything happens within and as, and the imagined separations has less charge to them. There is no real or substantial separation between you and me. Here too, there is often a combination of both of these. Even if we are not aware of the oneness that’s already here, and even if it’s covered up by a charged sense of separation, it’s still already here so it will have an impact on our experience.
So empathy can be more or less thought out or felt, and it can happen from a very human recognition or also from an intuitive or obvious sense of oneness and no real separation.