Note that knowing != doing, so in principle there is a gap between a world model which includes lots of information about what the user is feeling (what you call cognitive empathy), and acting on that information in prosocial/beneficial ways.
Similarly, one can considers anothers emotions both to mislead or to comfort someone.
There is a bit of tricky framing/ training work in making a model that “knows” what a user is feeling, having that at a low enough layer that the activation is useful, and actually acting on that in a beneficial way.
Steering might help taxonimize here.
Another broad problem is not noticing (or caring) about the degree to which being a good administrator of the federal bureaucracy, is a critical skill for a president. The things where it seems like Trump has no clue what is going on was baked in in P2025, when it talked about doing things that disrupted the normal function of agencies, because 90% of what the president knows he is getting from his secretaries and advisors, which get stuff from their departments. The fact that Trump watches Fox but sometimes ignores briefings is in fact a big deal.
Harris winning probably would not stop the democratic civil war, (unless she got some deals done), because the democrats have a civil war every election cycle and did not get a chance to do so in the primaries. We don’t know how she would govern through that.