If I understand correctly, people can use Graphene OS anonymously. This was a workaround to use Google Play Services (Store?) anonymously. So the users want to have a piece of cake and eat it too.
Organic Maps updates map data about once a month.
If you need help in editing - feel free to ask on https://community.openstreetmap.org/
(and bits of other sources like elevation data coming from elsewhere, but is primarily powered by OpenStreetMap data)