That is just the climatological response to MJO/RMM phase-4 in October and January.
I’m trying to explain how the same modes of forcing produce entirely different results in Oct vs Jan. There is no possible spatiotemporal correlation to be had.
Example 2: MJO/RMM phase-8 is statistically the most troughy for the PNW in October. But come January it’s the ridgiest.
PDO is meaningless other than the fact it’s reflective of the low frequency circulation over the previous 10-12 months.
Low frequency regimes by definition don’t change frequently, so a simple/linear correlation will indeed project a correlation between the pattern and the PDO.
However, that doesn’t offer any predictability whatsoever because the PDO lags the extratropical atmospheric response forced by changes in the tropics.
Ultimately, if you’re looking for long term predictability, the only variables of consequence are the structure of the Indo-Pacific Warm Pool (IPWP), QBO, and solar cycle.