It seems I spoke out of turn somewhere along the line, so I'll do my best to stick to just the facts here (and please do correct me if I am wrong, @GrapheneOS).
As I mentioned initially, one key advantage of the Aurora Store is that it offers anonymity. It provides access to the Play Store app catalogue through the use of proxy Google accounts, enabling you to download and update apps without the need for a Google account of your own. From the project's website:
"For those concerned with privacy, Aurora Store does not require Google's proprietary framework (spyware?) to operate. It works perfectly fine with or without Google Play Services or MicroG."
You can learn more about the Aurora Store project here and here.