As of the current plan by google, it’s a yes, see Android 11 "All files access" for the Syncthing App Catfriend1 pointed out that google often changes even fundamental stuff in the current phase, so I guess we know for sure in June when the first beta and with it “final API” is out (https://developer.android.com/preview/overview#timeline). It’s still not going to be super simple to make the app work on both Android 11 and <=10, so don’t expect any immediate changes.
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