Well, you would, perhaps...but not everyone learns like you do. There are different learning styles, and some learn best from theory, and vector diagrams work just fine for them. I've found in coaching sports that the percentage of people who learn best that way is small relative to other learning styles...but it's not zero. So, what I'd say to Dan is that (in my experience) probably not a lot of people are going to be interested in trying to understand aikido in this theoretical way...and what I'd say to you is that for some this is the best way, so let them learn the way they learn best.
Your quite right, I prefer hands on stuff rather than get involved in scientific theories .Each to his /her own. Cheers, Joe.