Yes, Aurora Store works alright for that

Obtainium looks interesting; thanks for sharing. I wonder about the security implications.

I assume you are referring to the behavior when F-Droid has limited permissions with regard to app installation (but maybe you’re referring to something else):

If F-Droid is included as part of the system, such as with CalyxOS, as a system app, or with the F-Droid privileged extension (if that’s still offered), then the app updating/installation behavior is a lot more like what Play Store has.