Again, CW is accepted to be Tidally Excited by Ocean Bottom Pressure Oscillations, but that is not proof of Tidal Forcing. You seem to assert no one can provide Mathematical-physics Proof of QBO Tidal Forcing, rather than Tidal Excitation, by the high standard Wilczek recognizes. I agree, this has not been done, but think its possible.
QBO and ENSO are obviously hypercomplex multi-chaos cases. Partial statistical models are insufficient. Its the ancient Elephant-in-the-Dark Fallacy, where blind scientists overclaim from partial-clues to a grand puzzle. ENSO and QBO are just such Elephants-
"It is a story of a group of blind men who have never come across an elephant before and who learn and conceptualize what the elephant is like by touching it. Each blind man feels a different part of the elephant...They then describe the elephant based on their limited experience and their descriptions of the elephant are different from each other. In some versions, they come to suspect that the other person is dishonest and they come to blows. The moral of the parable is that humans have a tendency to claim absolute truth based on their limited subjective experience as they ignore other people's limited subjective experiences, which may be equally true."
In your analogy of trivially identifying 60Hz loudspeaker hum, its obviously a high-Q first-order effect; not much like cherry-picking or ignoring squiggles in noisy geophysical data. A closer analogy would be an electric pendulum clock. The pendulum would oscillate at its fundamental frequency, but closer observation would reveal 60Hz excitation. The pendulum would not necessarily be harmonically forced, but could run a bit fast or slow, by various factors well-known to clockmakers.
Broadly laying out the major ENSO-QBO statistical-mechanics controversies would likely be welcomed by the Referees. Your QBO Draft could be the seed of a geophysical grand synthesis, of state-of-the-art multi-chaos analysis, and recover the Elephant.