
Hi @Tobias
Edge kiosk mode running in InPrivate session, that's why it's wiping the local storage. You can refer to this doc:
Both experiences are running a Microsoft Edge InPrivate session, which protects user data.
But the doc also says:
Microsoft Edge can be run with multi-app assigned access on Windows 10, which is the equivalent of Microsoft Edge Legacy "Normal browsing" kiosk mode type.
Referring to this similar thread and this doc:
You can configure Edge to be the only app in a multi-app kiosk configuration and select "Normal browsing" mode to work around the issue.
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Regards,
Yu Zhou