If I try to apply the terms "affective empathy" versus "cognitive empathy" to our scenario, it seems to me that you cannot aquire the latter without the former. Just for the same reasons that abstractions are just floating abstractions without a perceptual basis in reality. If you are going to understand what permanent severe pain really means, you first need to have experienced some taste of it yourself. Only then can you be affected by someone else's emotional state of such pain. And only