Perhaps the only problem with your QBO thesis is that does not neutrally account for all statistical drivers on merits. If you would nod to all major known causes of the multi-chaos, that would undercut objections of peer reviewers, meeting them halfway. Hell yes, lunar excitations and partial forcings are formally entailed; so they have to bend too. Once happily published, onto the next adventure.
Back to the general question about proofs in physics, here is a good example of a Nobel Prize-winning physicist (Wilczek) reasonably using the idea and term "proof" in a Mathematical-Physics context. He then assigns "experimental confirmation" as the "next great step". Thus are mathematical proofs traditionally subsumed in Physics:
Title: A landmark proof
Center for Theoretical Physics, MIT 2011
"Researchers finally prove the conjecture that the low-energy excitations of some quantum Hall states are non-Abelian anyons."