The Crimson Binome
Hero
The action is... whatever caused the statue to enter their sight. If they walk into a room with a statue, then the outcome of that action is uncertain, based on whether they recognize the statue. Do they walk into the room and recognize the statue? Or do they walk into the room and not recognize the statue? You should probably roll, unless the answer is certain.If the party sees a statue of a historical figure, I might call for an Int (History) check to see if anyone recognizes the figure. There's no action required or implied there; it's simply a matter of who knows what.
Likewise, if they just stand there while someone brings a statue into the room, then the outcome of their standing there is uncertain, based on whether they recognize the statue.