To reproduce:

• Start game
• tap Play
• Select local world
• back
• Quit to Title
• tap Play again

Expected: same world list as before

Actual: a new local server shows up, with the description:
<own username> 1/5
Remote world at: <tablet's own IP> 0.12.1

Tapping on it will show the Locating Server screen, but it will eventually time out.

It seems that somehow the game accidentally pinged and remembered its own LAN server during gameplay.