Well, in a way that's true. Not the statue itself, but of that for which it stands. He is reminding us of that which is eternal and infinite (in her capacity for grace), and at the same time illustrating the transient nature of the temporal (for those who had forgotten). Of course, He cares about human beings and their dwellings, but His Divine emphasis is on the Soul and its Eternal Home.
Now that's an excellent point.
The desolation reminds us that one day our earthly homes, our bodies will be destroyed. She reminds us that we shall live again, so we can live in hope of that certain resurrection.