Let me try again. The underlying concern seems to be (correct me if I'm mistaken): "How can a group currency provide a basic income?"
By definition. For a cryptocurrency to qualify as a group currency, it must provide its members with a basic income. This basic income is backed by the value that the group creates (whatever it may be).
In other words, profits go to paying back members for their existence. To be accepted into a group it's assumed that you will be providing some kind of value, but the group understands you might face hard times and so it provides you with a basic income.
The wider community in turn, has faith in the group's future, and that results in an appropriate price for the group's currency, which is being minted by group members.
It's certainly possible that a group could fail to provide a basic income to its members, but the point is that it tries. Otherwise it doesn't fit the definition.