Much of the auto-immune related diseases seem to be vaguely arriving at a similar conclusion lately.
To learn more about auto-immune diseases and gut bacteria, I highly recommend the book An Epidemic of Absence [2]. It's an impressively well researched book that doesn't skimp on the science.
I managed to get my eczema under control by learning about the relationship between gut, food, inflammation, and auto-immunity.
[1]: https://scholar.google.com/scholar?q=multiple+sclerosis+gut+...
[2]: https://www.amazon.com/Epidemic-Absence-Understanding-Allerg...
And what did you do? Everyone seems to agree that dietary changes are the answer. What exact seems to vary.
That said, the biggest factor for me was eliminating dairy. I used to drink more than a gallon of milk a week. I saw results after about two weeks of eliminating dairy. My dermatologist was shocked. She refused to believe there's any correlation between diet and eczema. Patches didn't start completely going away until I also eliminated wheat. They are basically gone when I regularly eat fermented foods, take a soil-based probiotic, and get good sleep.
You might want to try an elimination diet (starting with dairy, then wheat/gluten). If you want something more structured check out an auto-immune paleo protocol like Whole30. I wish that existed when I got started. Had to learn the hard and slow way on my own.
I also recommend a gut bacteria test like uBiome to see how it alters your composition. Do a before test, then another one after a month or two of use.