Many thanks for introducing me to the concept of false beginners vs absolute beginners.
Have you come across these URLs in your search?
For false beginners, who already have some basic, although somewhat "rusty", knowledge of English:
Teaching English to Absolute and False Beginners - English Methods for Absolute and False Beginners
And for absolute beginners:
Absolute Beginner English - 20 Point Program
They deal with the basic concepts and different approaches involved.