The empathy you and everyone else are talking about is not what a clinical psychologist / psychotherapist / competent psychiatrist means by empathy. Yours is more akin to what they would call sympathy / pity / compassion.
It's unfortunate, because while I agree with you, the lesser-known version of empathy is actually useful with respect to dealing with pain. The characteristic in common is a sharing of emotion, but therapist empathy also includes intelligent analysis to overcome things like racial prejudice, dialog with the recipient to check for understanding, and well it's basically just hard work that pays decently if you're good at it.
It doesn't scale though, it's really only good on a 1-1 basis but some group situations can work. Supposedly parents are supposed to do it naturally with their children but everyone is so self-centered these days that I never see it.