It's well known that higher solar wind/CMEs density/speed/etc that comes with the peak of the 11 year intensity cycles scatters cosmic rays before they enter the inner heliosphere. Combine this with the 1~3 years it takes for the solar wind to travel out through the heliosphere and you get the phase difference. Really cool unintended sensor empirical data on it though.
Don't try to correlate with the sun spots, correlate with the solar wind/cmes from the spots getting out far enough to effectively scatter the incoming cosmic rays away.
The paper claims directly "the rate of degradation over time remains unsatisfactorily unpredictable" but you are claiming the authors do not understand or are unaware of the point you are making?
I thought it only takes a few days for solar wind to travel from the sun to the Earth? Can you clarify?