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FDroid vs FDroid Basic
(lemmy.ml)
F-Droid is an installable catalogue of FOSS (Free and Open Source Software) applications for the Android platform. The client makes it easy to browse, install, and keep track of updates on your device.
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I explained why you would want to use F-Droid Basic. Why it wouldnt recognize your installed apps I dont know, did you look in the "installed apps" section or just updates?
IzzyOnDroid collects Github releases that you would otherwise get with Obtainium. F-Droid builds them on their own so you couldnt update from one version to another as signing keys dont match