I use different words for the same type of thing designating different types of combinations. This is a relatively simple chess lesson, more on the level of Class C maybe, but I think that the examples he gives are interesting and it is good to be reminded of these concepts because they are easy to overlook.
There is an alternative method where you use your three pieces to make a diagonal shaped wedge, and you try to force the enemy king into a smaller wedge. Although supposedly simpler to understand, in practice I find that I can become confused on how to play it. The cool thing about the above game is that you are almost guaranteed to reach the position after White's move 14, although possibly on a different edge of the board. From there you just need to know the sequence to finish it.