This still doesn't bring up Fennec if searched for 'browser'. Neo Store does.

F-Droid Basic, a cut down version of the official F-Droid client, supports the Android 12+ unattended app updates [1]. This allows for a store to update apps without user confirmation (if it was the store which installed (or updated?) the app originally) [2].

[1] https://gitlab.com/fdroid/fdroidclient/-/merge_requests/1216

[2] https://www.xda-developers.com/android-12-alternative-app-st...

> Fdroid still has the privileged extension

Not on modern versions of Android.

>Fdroid still has the privileged extension whereas droidify and Neodroid can use Shizuku and other options.

What is all of this, care to elaborate?

A lot of actually uncommon knowledge is being assumed here.