If the permission is granted, the native/session APK installer still handles every install and update, including its "Do you want to install/update this app?" popup. Only root and system apps can do installs and updates silently.
Huh? I'm pretty sure fdroid did a silent update without asking me. I think Aurora store also did silent updates. I mean, I still have to allow it once, then afterwards it didn't need my permission.
What android version are you on? I'm on the latest Android 14.
So basically: If you've done at least 1 update using a third-party appstore for an app, it automatically give permission for third-party appstores to update that particular app for future updates, without prompting the user.
Edit: wait, I just googled it and apparantly, you could already allow third party app stores do silents updates since android 12. The android 14 update is basically just allowing the third party app store that first installs the app to become the "Update Owner" to block other app stores (including Google Play) from updating the owns under the third-party store's "ownership".
So I think you could already do that on any device Android 12 or later. Just try to do an update using the app, then wait for the next update to see if the update prompt goes away, which it should go away.
It looks the same, but its just once I do one update on the app, it no longer prompt for future updates.
It should already exist since Android 12, but maybe it needs Android 14 to function completely? I'm not an expert on Android. Just test it, the in-app options shouldn't affect it, its a system thing. Update once, then next time it shouldn't prompt again. If google play isn't disabled, that might be causing issues with this "silent update" feature. But Android 14 should allow Aurora to to "take ownership" of the app if you first install the app through Aurora, which would block Google Play from attempting to update those apps under Aurora's "ownership".
TLDR: Android 12 should've made this "Silent Update" work, but I think Android 14 is what's gonna fix any bugs or glitches with it.