As I know I mentioned before, I doubt that there is a gravitationally mediated interaction between Jupiter and the solar cycle, and if there is a electromagnetic interaction, then that would involve Saturn as well as Jupiter, and probably Earth. Both Saturn and Jupiter have a strong impact on the solar wind. During the years when they are in close heliocentric conjunction, Jupiter's magnetotail and the bow wave of Saturn's magnetosphere are trying to occupy the same space. There has got to be some interesting things happening there. I leave it to the Reader to look up the big words.
The Jupiter - Saturn heliocentric conjunction occurs on the average every 20 years, plus or minus 1 year. The last 18 solar cycles occurred on an average every 11.0 years with standard deviation of 1.03 years. But NOTE THIS: what we call the 11 year solar cycle is only half of the full cycle as it takes another half to reverse the Sun's magnetic poles yet again and return Sol to the same state. Running the numbers on the last 8 completed full cycles, the average time is 22 years with a standard deviation of 1.3 years.
This is using a simple model that excludes a third planet that affects the heliosphere, which is Earth. While Earth's magnetosphere is much smaller than Jupiter's or Saturn's, it is active in a nearer-to-the-Sun region where the solar wind is more dense, and it sweeps through the solar wind at a much higher velocity than the more distant planets. I do not pretend to be competent at building a model that would incorporate Earth's possible effects. It is however a reasonable supposition that Earth could bring about the difference between the 22 year full solar cycle and the 20 year Jup - Sat cycle, as well as the occasional breaks in rhythm of the solar cycles, such as the Maunder and Dalton Minimums.
This stuff is not my area of expertise. However I know how to do basic research which is now quite easy with the internet, and I know how to use simple math tools. I also know my limits. I am good for casting doubt on the verbiage of persons who think they know more than is actually within our current universe of knowledge. I am good for suggesting avenues of exploration, especially those that lie between defined areas of study. I refrain from doing anything more than suggesting the possibility of a different, and maybe better, mind map of What's Really Out There.