Personally, I think it's simply talking points as to what one's looking at, and saying what about which.
If you look at these hitters' hands, then yes, from the handset at or above their shoulders, they do move their hands "down" or "swing down" (good luck teaching that to young developing hitters).
But if you look at the barrel path, it indeed does more of the "ferris wheel" (although I don't particularly like that term), as to moves "behind and through" the ball...not "down and to" it as the hands "swing down" will ultimately produce with young hitters.
When we often talk "Down to", aside from the core movements, I feel we cannot forget there is torque being applied to the handle of the bat. It's not the players taking hands "Down to" as pushing the hands or knob that way and never release the bat head. I think the argument can be said that the hitter is turning the barrel/throwing "Forward" (in which you see the barrel get behind the ball creating an arc) to the ball with direction vs TTB "Rearward" first to get behind the ball. if that makes sense. JMHO