I would call this share "Fairness" cos that's what it is, and I believe it would have huge potential to become the world's currency as it rectifies the fraudulent allocation of the world's resources as took place till now. It is about giving people back their natural entitlement to this Planet and its resources.
"Basic Income" is something else, it is guaranteeing a minimum amount for survival. it could become a token (the BIC you mentioned in another thread) pegged to a necessities basket on the "Fairness" platform, but would be a political decision (hopefully taken by decentralized governance)