PaulP: "There are only two forcing mechanisms that are operational -- the sun and the moon."

There are more than that. Inherent Helmholtz resonances of the geographic structure with excitation by Vertical and Horizontal Coriolis and ITCZ and Trade Wind Belts. Major Asteroids and Volcanic Eruptions happen fast and do disrupt. Solar radiation and cloud-cover interaction play roles. Being curious about geological time-scale does not hurt. Your personal experience of lack of peer curiosity in geoscience is not everyone. This is all cool stuff.

Jupiter non-lunisolar QQO dynamics are strongly driven by planetary rotation, as its QBO analog. ENSO and QBO get lots of non-lunisolar excitation energy from Earth rotation (Vertical Coriolis). They would be quite active even without the Moon. Lunisolar data noise on ENSO geo-sensor networks is a serious issue to rule-out or embrace. Have you seen that hypothesis before? Scrutinizing the geo-sensors for direct tidal sensitivity will sort it out.

Don't be too unhappy if the lunisolar correlations you clearly see have a more complex explanation than first thought. You would still be first to publish, if a needed pivot is not too much. Beware of confirmation bias preventing validating lunisolar signal explanations you consider unhelpful a priori. Correlation is not always causation. Not all excitation is direct harmonic period-forcing. Inherent resonance makes for sensitive forcing.