Having now submitted several privacy entitlement requests, I am receiving the following answers from Apple:
"Thank you for your interest in the user-assigned device name entitlement. We need more information in order to review your request.
Please review the entitlement documentation and provide screenshots of your app to show that the user-assigned device name is visible to the user."
Well, I would have loved to upload that screenshot in the first place, but the application form did not provide a possibility for that.
Now, that I still would love to upload that screenshot, Apple (still) does not tell me WHERE to upload it (the documentation page does not tell).
Does someone else have this information? ;-)