Oof, that sounds bad. Do you mind telling me which exact app you mean here? I might need to add it to the testing list in the future if it behaves so differently from the desktop/phone browsers I've ran the game with.
I'll change it to the setting option asap. Thanks for letting me know!
Edit: I have updated the game with the option to disable save slot naming, though it is on by default. You can change it in the Settings panel from the left-side bar, top option: