The progressive version of the basic income isn’t rooted in technological unemployment. Rather it’s a mechanism for redistributing money. It’s based on the idea that everyone is entitled to an income, whether they’re willing to work for it or not.
For progressives, non-work is a feature of the basic income system, not a bug. They say that, if we were to adopt a basic income, the arts would flourish, entrepreneurship would rise, and workers would have more bargaining power.
But the results of basic income experiments are mixed, at best.