Hi Chemar...
I've seen your name often in my obsessive reading and I so appreciate all you do for parents like me.
Sorry for my mis-typing the acronym....it was late last night when I was writing

And yes, "Habit Reversal" is an old term (that's why I said "used to be called") that has been rejected for just the reason you mention but I referenced it because it's all over the place in the research. Also CBIT includes lots of other stuff in addition to the redirection technique that we didn't really try because we didn't end up needing to.
Yes...I know well that what works for one person doesn't always work for another. When I was pouring over message boards looking for success stories, I tried so many things for my daughter with which others had had great success but did nothing for us. In fact, I tried YOUR vitamin therapy regimen that you posted that helped your son! No luck.
I absolutely realize that this may not work for everyone but if it helps even one family, it's worth my posting.
Happy New Year!
Michelle