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Thanks for the details. I knew that anyway it wasn't a matter of being 100% "private", just because many, if not most apps you get from the Play Store which aren't fully open source probably have some integration of Google/Facebook analytics and so on.
My mentality is more a matter of limiting as much as possible the data I willingly send them.
Either way most of us know by now that on the web, Google or Facebook analytics are integrated in most webpages, the internet hasn't been "private" for a long time already. I still think that between Aurora, and Google Play, two apps which could both contain the same libraries, more likely than not you will send more data to Google by using the service "the Google way" through their interface.
But maybe I haven't made myself clear enough that privacy just like security is a journey, and not a goal, reaching 100% security and privacy is impossible nowadays even if you stopped owning a computer or mobile (because service companies will have your info digitalized anyway and you have no control over that).
For me, it's not directly a matter of privacy (because I have a Google account with my real information, that I use regularly and don't mind using). My reasons are politically oriented so to speak, I am no one special, just a common citizen, but the fact that nowadays owning a bank account in a country that is not the USA requires me to have either an iPhone or a Google certified Android device makes me very angry.
I don't have anything against Google, I love using their services, BUT, some aspects like not being able to use a local bank account without Google is borderline too dangerous. What happens if the Play Services are fully turned off in a country because of severe restrictions? The entire banking system of that country collapses?