Easier ways to switch servers is definitely on my radar, these gestures were late shortcuts added for it, but not the final desired state.
For now there are a few ways to switch between servers easily:
- 3-finger swipe-up may be easier than left/right. This pulls up the list of servers.
- The “Open Page” Widget can be edited (long press, choose edit) to show e.g. 2 pages, 1 for each server.
- Separate app icon per server with a Shortcuts.app Shortcut executing an “Open Page” Shortcut. Choose “Add to Home Screen” when configuring the Shortcut.