The statement that is not a characteristic of Impressionism, as shown in Monet's "Rouen Cathedral West Facade," would be:
A famous cathedral was chosen for the subject of the painting.
While choosing a famous cathedral as a subject doesn't align with the core principles of Impressionism, it doesn't directly reflect the visual characteristics and techniques used in the painting itself, such as capturing light, using broken brush strokes, or employing complementary colors for shadows, which are typical of Impressionist style.