The bank buttons kinda work, it's just that it doesn't go into preset selection mode because you don't have any preset buttons on that page to allow preset selection.
If I start on song 1, switch to the loops page, press Bank Up and switch bank to page 1, the display does show song 2. You're still in a preset from song 1, but if you press any preset button, it will switch to a preset in song 2.