Most of this is noise; a mathematical proof does not create an equivalence, it observes and validates it. The equivalence between sensitivities based on fixed points and KKT exists intrinsically; the proof formalizes it, which is a matter of discipline. Our posture is to focus on what is controllable, not on reinventing established principles. For example, a risk model for a bond portfolio recognizes existing correlations; it does not invent them to justify a hedge. This distinction is fundamental for a prudent capital allocation.