Why would an app store show apps it doesn’t manage? /s
Honestly though this is dumb. If the app is installed from Fdroid or another store/repository, that’s where it should be managed.
On my Galaxy S10, the Galaxy Store likes to “steal” apps from the Play Store. I don’t care who updates it though. But I never installed anything from the Galaxy Store, except Good Lock and its modules, but it’s updating Firefox? What even is that?
My iPhone’s App Store straight up ignores sideloaded apps, though I haven’t messed with any since Apple started allowing emulators. I really just wanted Delta and now that is in the App Store. And RetroArch but I really don’t use it (I should but I’m lazy).
Not saying Apple does it better. Like with AI, Apple just doesn’t know any better. Neither platform annoys me enough to push me into the other camp.