A square that was never decorative
The name of the square tells its story. In the Middle Ages, "lices" meant the enclosed ground where jousts were held. The space already existed in the ninth and tenth centuries, in a far rougher form, and served as a training ground, a fairground and a parade ground before being laid out as a public square in the nineteenth century, with the plane trees still standing today.
Put another way, Place des Lices has always been where the village gathers to do something together. The market is simply the latest form that habit has taken, and it runs all year. That matters, because it is close to the only thing in this village of which you can say as much.