So which one is the most correct internal speaker damping procedure, since they were all designed by the well known, legendary people.
I don't consider myself an authority on the matter--but I have read a number of speaker building books (both in theory and design), attended DIY events, and built any number of loudspeakers myself...
I think the answer to the question is--it depends. Different types of dampening do different things for different applications. For example, if you've got a ported design, then a heavy fill (either fiberglass or poly) isn't what you would want. It would hamper air flow. Conversely, if you have a sealed design--then foam padding on the side walls won't be enough. (Foam padding, on its own, is rarely enough.)
The argument that if the speaker was designed by an expert, therefore the internal damping shouldn't be fiddled with--well, that's not an argument in which I subscribe. It's quite a distance between initial (i.e., optimal) design and actual (i.e., cost-cutting) production. In the time that I used to sell hi-fi (during college), I would routinely peer inside the cabinets to view the XOs and the dampening---and I was consistently shocked at the 5-and-dime materials that were used. Minimal damping and cheap components lead to higher profits.
So in short, I would feel free to play around. If it's a ported design, then using the three-layer foam on the side-walls with a light fiberglass fill. (The rule of thumb is that fiberglass may sound a touch better than poly-fill. On the flip side, poly is a HECK of a lot easier to work with.) Add or remove fiber/poly fill to taste.
Sealed designs could benefit from the three-layer foam on the back wall. Add or remove fiber/poly fill to taste--medium to high fill is par for the course. PartsExpress has been my supplier of choice, although it seems that they have gone downhill (relative to speaker building) since one employee (in charge of SB development) left.
Hope this helps,