Both “damaged” and “wounded”, in the context of every existing spell, in game means that the troop’s life is lower than it’s current max life (ie., life is damaged). This is not to be confused with traits that trigger “when I take damage” (unless “to life” is also specified), which can trigger when armor is damaged, even when armor is reduced by stuff that wouldn’t otherwise be considered “damage” for the purposes of, for example, interacting with barrier (eg., Golem’s spell, which reduces armor only, will trigger Orc Armor but not interact with barrier).
Just another thing to add to the pile of stuff to make clearer when they do their description pass of all spells to make language consistent.