You seem to be confused about the point I'm making, which is that low-paying jobs drive people to take on more employment, not less.
So if person A takes 3 jobs just to get by, there are fewer jobs left for person B. (Not quite 2 jobs less, because it's not perfectly zero-sum, but generally at least 1 job less.)
So while I certainly wouldn't make the claim strongly, as I don't have any data, it would at least make sense for the lack of living-wage jobs to increase unemployment rates.