Well, yes, but the invertibility is conditional.

Compassion is easier with a concrete person for a target. As is... idk. There's probably some (respect? romantic love? Loyalty?).

Hate is easier with a diffuse target. As is, say, idolizing love, disgust, contempt, superiority, etc.

The invertibility isn't in that you can flip "harder" to "easier" and then have it make just as much sense. You have to change the emotion too, which signifies that there is a categorization of emotions: useful!

If you insist that this is invertible wisdom, then I must say you are misapplying the heuristic.