Unfortunately this article is misleading. They did not use “Seasonally Adjusted”. The government gain is mostly school teachers (none in June, lots in September. The govt number reported in the news is typically the “Seasonal” number. I am not sure why they are considered unemployed since they are paid all summer, but that is the story.
Since there’s no real new money out there in gov’t bank accounts these folks are gonna be disappointed when they find out their imaginary new jobs have been seasonally de-adjusted a little later.