Well in my case it was literally true because there was no job for me, and I assume that having postgraduate qualifications counts as well educated. For the first couple of years I was here I was struggling to get my business established and I was looking very seriously for a job. I speak fluent French, I don't live in a big city but neither do I live in the sticks, I guess you'd call it a small town, and unemployment in this area is slightly below national average. Compared to the UK where I'd just come from it was an eye opener how few job openings there were when I started looking. I put applications in wherever I thought I stood a chance and I had all of 1 interview which wasn't successful. I never had any problem finding work whenever I wanted it in the UK, in fact I've never been "on the dole" in my life.
Since then I've come into contact, through teaching English to jobseekers, with many long-term unemployed French people, most of them well qualified and very employable or so it seemed to me. One for instance was an accountant who lives in Paris who was made redundant when her employer went bankrupt, it took her nearly 3 years to find another job and she considered herself lucky because being in her late 40s and knowing the employment situation, she hadn't been at all confident she would ever find one.
France itself recognises the problem and the effect it's having on the economy, the root cause is principally French employment law and the burden it places on employers that makes them reluctant to create new jobs, it's been discussed ad infinitum during all the election speeches but nobody has the answer to it yet.