JGC is a better writer than me - I did not suggest the exact language, just the structure of an alternative approach to the explanation that I think would make it simpler.
He is also a better writer than I am. What I was trying to suggest is that picking an example that is easy to clearly write to is also very important for introductory vignettes. Otherwise, you're left trying to explain things that you weren't even trying to explain. (I've done this in class many times and it's a pain in the ass. You end up spending a fair amount of the class off topic.)
I will note here, however, that in this thread OP agrees with you.