Does Earth's magnetic field secular variation control centennial climate change?

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Solar Influence on Global and Regional Climates (2012, unknown): “…of associations between the main geomagnetic ﬁeld and climatic changes over the last three millennia (Haug et al. 2001; Gallet and Genevey 2007 Gallet et al. 2005, 2006; Courtillot et al. 2007) would be signiﬁcant, if they survived robust null-hypothesis testing, because they would be via…”
A regional archeomagnetic model for Europe for the last 3000 years, SCHA.DIF.3K: Applications to archeomagnetic dating (2009, background): “[70] Declination and inclination curves, i.e., directional curves show different behaviors in western Europe (Iberia, France, United Kingdom) and eastern Europe (Hungary, Bulgaria and Greece).”
Are there connections between the Earth's magnetic field and climate? (2007, background): “[61] have compared the occurrences of archeomagnetic jerks with paleo-climate indicators,”