I'm afraid that will happen because of how the game starts with a sculpture destroying itself but personally I think it's just tired of it and the way to describe it, it's not so literal
Remember that one of the great things about this VN is the poetic language. Most of the time, to my knowledge Asterion wishes to turn to stone or become stone. Usually in response to additional trauma or emotional turmoil . To me, the weathering of that sculpture in the front is a metaphor for how our dear friend has been treated, abandoned, abused and neglected.