To buy into that bold prediction I would expect to see evidence that current AI-based technologies are reducing economic scarcity already, and that they're moving us toward Sam's utopia in obvious, measurable ways. Maybe they are -- I just haven't seen the evidence, while I have seen plenty of evidence of harms.
(Don't get me wrong, the capabilities of LLMs are mind-boggling, and they clearly make all kinds of knowledge work more efficient. But there's nothing about AI, or any technological efficiency, that guarantees that its fruits are distributed in a way that relieves scarcity rather than exacerbates it.)