Your not addressing glacial melt contributing multitudes of varves by natural sedimentation and natural erosion. I have no problem that your correlations would agree, because your assuming only one annual varve per year for long periods of time, and not factoring the melting glaciers.
Interesting but there is, TTBOMK, no evidence that Japan had glaciers even during the last few ice ages. Hard to have glacial melt without glaciers.
Aslan is not a Tame Lion