Yeah, they substituted the incorrect term "District" for the correct term "Circuit." Correct that, and I believe the totality reads true.
Even if that's so, the Sixth Circuit could not have "reversed" two U.S. district court rulings in short order like this. Where (and when) was the briefing? U.S. Courts of Appeals sit in panels of three (or sit en banc with the full court) and issue opinions affirming or reversing based on a fully briefed case. That obviously didn't happen here.
As I said, the only thing that could have happened was that a stay was granted. But that's incredibly unlikely, because a stay will be granted only if the full panel is going to hear the case. And we're talking about two separate cases here.