I hauled it around a while looking for a chance to try it, I ain't all that smart, and finally had a chance one evening. I ran a few feet of cut across a pour that was a couple days old, a block wall was going where I made the cut so there really wasn't any damage.
You're right on 2 of your observations, the teeth are in correctly, it rotates slow, but the kerf is about 5/8 wide. It has a depth adjustment, so I made 3 or 4 passes to get to the full depth, probably 3/4".
Yes, you do PUSH it into the cut and you also HOLD it down. It could use an adapter for a tractor seat so a small boy could hold it down.
Dust isn't real bad on fresh concrete.
I also did try it once on cured concrete. I quit fast.
The teeth are in 3 orientations, left, right and center, and you could extend the life by swapping positions if you ever used the dam thing long enough.