If you read the column heading again, you'll notice that the visibility relates to ownership of the torrents, not your IP address. In other words, your login name will appear next to the torrents you have uploaded. There is an option to hide your username if that's desirable, but otherwise, nothing is visible to other users.

This is only related to others peers knowing about the uploader of the torrent files, not the uploader's IP address. When you upload a Torrent on the Postman Tracker, you can decide whether to upload the torrent as an anonymous uploader or with your Username. In this case your username is visible, and that's alright.