Thanks for your reply, @Carson, and I totally agree! As I was reflecting, I was aware that I could cross into the territory of trying to draw a boundary between the two, when they are very intertwined, as you also noted. 
What got me started on this was that I am reading about a psychotherapeutic intervention called “Compassion-Focused Therapy”. It’s something that has intrigued me for several years now. While the guy who developed it draws from various psychotherapy approaches/theories, he also notes compassion’s Buddhist roots.
As a Christian, I, of course, want to chime in, “Compassion is also a concept that is throughout the Hebrew Bible!” But I was wondering if, conceptually, they would have the same quality. The Latin prefix com- of course means with, together, so I was wondering if the Hebrew word had that quality.
Of course, Incarnation is YHWH’s ultimate expression of compassion, in the sense that God could suffer…that is, feel/know our human suffering. God is with Israel, and extends mercy to them and feels pity for them. So, in the case of the Old Testament, choosing to (and having the power to) do something about their suffering is compassion. And we are to mirror that compassion. (This is just me processing aloud!)