There is something very wrong with this Zarkova presentation. I did some research on this wobble and sure enough the distance between the Sun and Earth hardly changes over long periods of time.
For sure it changes during the year quite dramatically because the Earth’s orbit is slightly elliptical, but the closest approach (which happens every year in the first week of January) is extremely stable. From now to 2200 the closest approach between the Earth and the Sun does not vary by more than 8500mi. That is an error of less than 0.009%!
The Sun does wobble ... quite a lot, by millions of miles, but the Earth goes along with it. The Sun moves 2M miles closer to the center of the galaxy, so does the Earth, then they move back. They wobble somewhat in sync.
Intuitively it makes sense. For the Sun to all of a sudden get 2 million miles closer to Earth and stay there for 200 years it would require a gigantic disturbance in the Solar System, akin to a black hole appearing nearby :-)
This lack of understanding of basic orbital mechanics puts in doubt the whole rest of the presentation.
The sunspot magnetic model is what interests me. Tracking sunspots alone is a good predictor of weather for about 2 years out. The magnetic model seems to extend it much further, with major trends being identified.
Somehow I doubt that Zarkova “lack(s) of understanding of basic orbital mechanics”. I think you believe you are correct as well. But you may be missing some vital point she used to find what she did. For that you would have to have access to her math and the data she used in her reasoning.