For better or worse they did actually cite statistics:
> 77 percent of educators reported young students having greater difficulties handling pencils, pens, and scissors. In comparison, 69 percent noted increased struggles with tying shoes compared to five years ago.
But I'm also skeptical of drawing any conclusions from questions phrased this way. In my experience, the fraction of people who think everything is worse than 5 years ago has remained unchanged in the last 30 years.
That said, I wouldn't doubt the claim, only the methodology.