What they do is effect cloud cover, which have a greater effect of atmopheric temperatures.
We do btw, have warm and cold cycles every 22 years, every 10 years in fact. They coincide with wet and dry cycles. These cycles vary regionally, for instance, it may be dryer in southern regions, while it's wet in northern regions, east and west.
If you were a farmer, you'd be more aware of this wet/dry cycle. After several decades of farming, you'd see a pattern emerge when you realize that every ten years or so, you can actually plant crop in that swampy area, that it slowly shrinks each year, then expands, as moisture decreases and increases in a ten year pattern.
Spring flooding is another example of shorter and longer term weather cycles. Once every hundred years, we get the flood of the century,, then there as smaller spikes of extreme flooding every 25 years, and still smaller spikes every 10, and very dry periods in between, where there is barely any sping flooding at all, and water reserves begin to dry up, causing "global warming" fantics to take pictures of these dry regions (while ignoring the flooded regions)
and pictures of receeding glaciers (while ignoring the expanding ones)
Your post is interesting but I would like to see more data about it depicting the climate variations to the sunspot variations. If you have such data, please post, I will include it my global warming web page. I do know there is a slight global temperature variation over the 22 year sunspot cycle, but only very slight (doesn't rise above the noise in a Fourier transform).