If all you use are binders then the outside binder will have the same effect as what usually the wrapper would have, influencing the taste quite a lot. At least for 20 to 30% I would say.
My point though, is that whether you call it a double wrapper or a binder, as well as whether you call it a double binder or a wrapper doesn't really matter. The leaf on the outside which you see and to much affects the taste, we all know. The question put in this thread is whether the leaf that holds the fillers has a lot of effect on the taste. Regardless of whether it's called a double wrapper or a binder.