Not sure what specific setting made the difference, but copying the Enpass-Desktop.conf file from my other machines, overwriting the one on the new machine resolved my issue.
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I'm using enpass on Arch Linux, running in a Virtualbox VM.
On attempting to import from a backup (stored locally sourced from an exported backup from my main desktop machine), I'm prompted for a password, which I enter. It's the same password as on the desktop machines. After selecting the file (.walletx), I enter my password and am informed my data has been restored successfully. I select done and am a