Your claim that the inner winds are the same as the outer winds has not been borne out, despite various lines of argument. That is my contention.
My claim is that the winds in the body are based on the process of respiration. I never asserted that they do not undergo change and refinement in the body, of course they do. The function of the lungs is to bring air into body and pass it into the channels, refining it along the way. This vāyu, like any other of the four elements that are taken up by the body, undergoes a process of digestion. Breath is a kind of food. This is why we have rasāyanas of air, which involve prāṇayāma practices to extract the rasa of the vāyu directly and so on.
Anyway, this understanding comes from Tibetan Medicine. For example, one of my teachers, Tamdrin Gyal from Amdo, when explaining topics from Rangjung Dorje's famed Zabmo Nangdon to us asserted that while the vāyu/vatta of the body comes from external element of air conducted into the body through breathing, the air element outside the of body does not possess all seven characteristics of vāyu present in the body i.e, rough, light, cold, motile, subtle and hard.
When we talk about the five elements in the body, we always refer to them as the five refined elements. But, for example, Padmsambhava is very clear that the five refined elements in the body come from the five gross elements upon which we depend for life.