I didn't watch the youtube, but I will admit that this is the kind of logic that my mind goes through for a lot of arithmetic. It works for me, but I'm not sure I could explain it well to someone else. And I am certain that it's not a mechanism that works for everyone.
I think in the same way for math, but then again, I tend to get a lot of flak from people for the way I think.
However, my guess is that math classes were boring for you because they were easy. Am I right there? The beginning of boredom with math for me was in grade 1 because it was all too easy. I caught Hell for working ahead in my math book.
I think that there are different ways of approaching arithmetic, and that there's not 'one-true-method' that works for everyone. Each person should find their own best way to working out basic arithmetic, and I think the best elementary math teachers are the ones who are able to somehow guide different students to the different ways that work for them.
That seems like sage advice!
One of the things that I love in this thread, is how those numbers, frequencies and patterns can turn into a laugh.
And I'll stand beside the 6-pack theory for counting! It's as valid as any!
Or, once you can actually count in hex, it's pretty easy!