Interesting if the Singularity mean there were no jobs. But even more interesting is what happens if productivity crosses a tipping point where all the GDP for a country like the US can be provided by .1% of the workforce? I always loved how Gene Roddenberry envisioned a future in Startrek where everyone had jobs but nobody used money. Sort of like ClubMed but for work. That made the Ferengi in the Star Trek universe interesting in their focus on wealth.
Of all the arguments for basic income, this one (100x productivity gains) is the strongest. It then changes the way to reward people for work. Perhaps the employed have extra perks or something.