Phoenix down never says it revives the dead, only revives those who have been incapacitated. Lore in game strongly points to bringing people back to life as a true living being without things like the echo as being very difficult if not downright impossible. After all if it was that easy death would be a much more minor thing. After all you wouldn't worry about going to war much since as long as a healer survived the battle everyone would come back alive.

I wouldn't read too much into single words in skill tooltips. After all by that logic then there would have to be a lore explanation on why some skills only work on party members and their isn't.