Terrible idea. Whats the point of having a huge map if it was filled with nothing? There are hats and furniture shops in different places to give reason to go to those places.
If there wasn't a hat and furniture shop in snow town what would the point of going there really be? That is not even taking into account the history of the game.
The guild spar arena was moved for a variety of reasons, and is a bad example seeing as it's an activity, as opposed to something visited fairly infrequently such as a hat shop.