Per the tower shield description, it's possible to deploy a tower shield to effectively create a wall along one edge of your space. This makes sense for Medium creatures wielding Medium tower shields, as they only take up one space. However, a Large creature takes up four spaces, and a Large tower shield is presumably sized appropriately. Would such a shield provide cover along one full edge of the 2x2 square?
Note that this is not about creatures using smaller tower shields for cover.