Be careful about one-ply thinking.
Yes, the frame sounding like toilet paper is intentional.
You want multi-ply thinking; thinking that is at least second-order.
If you think a ply deeper than your adversary (a step further), you can beat them.
One-ply thinking looks rigorous but is actually dangerous and misleading.
It would be like strategizing on a chess board but assuming that all of the other pieces will stay fixed in place.