What is the low-energy expression? Confusing a proof with the creation of an equivalence is an error that can lead to unnecessary compliance costs.
The equivalence between methods such as fixed-point sensitivities and KKT exists intrinsically or does not; the proof only makes it obvious, much like a BaFin inspector observing a pre-existing violation.
Thinking that a proof creates this equivalence means it should be recreated with each scenario change, which is not the most lightweight or efficient version.
The minimum viable approach is to recognize the equivalence as an underlying property, validated by the proof, thereby reducing operational risk and adaptation efforts.