Compassion *does* generate sympathy
My father-in-law (who's been an asshole since long before he voted for Trump) is dying at home, as he wants. Spouse and I are making it possible. This has been strongly proving the truism that just treating someone with compassion softens your feelings towards them, whether or not that's deliberate.
We still dislike him intensely, and are looking forward to his death. But my heartily despising him has faded to a cognitive recognition that those feelings were & are warranted, without being caught up in them. Spouse has noticed it, too, though I'm not presuming to describe his feelings.
Maybe we're just avoiding cognitive dissonance. Whatever it is, I'll take it. Looking after a dying person who's shifting in and out of lucidity is hard enough without my heart rate going up every time I talk to him.
Also? If nursing home staff were paid more than neurosurgeons, it wouldn't be enough.