AFAIU Aurora isn't an alternate store, but an alternate front-end to the Google Play Store. That is, the only apps available through Aurora are those on Google

AFAIU Aurora isn't an alternate store, but an alternate front-end to the Google Play Store. That is, the only apps available through Aurora are those on Google Play, and if Google's rejected an app, then you won't be able to install it via Aurora. By contrast, F-Droid is an alternative front-end and app store, with apps available which aren't included in Google Play (for example, Termux). (I use both Aurora and F-Droid on an Onyx Android device.)