Frankly, I have serious doubts that that stuff would work against strikes or grabs. I've personally never seen them used against wrestling or grappling, and within grappling itself, we don't use any of that to counter those types of grips. Unfortunately, its more theory than practical application against skilled fighters, which seems to be the hang up for a lot of traditional martial arts.
I imagine a grappled will be looking to improve his position and continue grappling as opposed to freeing a limb to hit with it.
Also if your grappler has learned bjj or wrestling etc why would you expect to see a karate technique?