Suppose we think that it is possible that someone will recognise the statute, then - until you tell me why it matters - I don't see the difference between the GM tossing a coin, the GM calling for a die roll, or the GM just deciding.If however the GM wants to have it be (or previous events in play have somehow made it) an open question whether anyone in the party will recognize the statue when they see it, then calling for a roll in mid-narration seems like a good way to do it.
More generally, there is an assumption sitting behind your example that the players may encounter statues and the like where there is little at stake in the encounter itself. That's not an assumption that I adhere to in my RPGing.