This article says that there are no studies so far that can link a fatty liver to IBS.
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3761093/
But personally I wonder if any part of the GI system is working harder than usual, it is bound to put some stress on the other parts?
I guess there are degrees of fatty liver. It's very common, Most people as they grow older do have a bit of fat on the liver, but they don't know and it doesn't give them any GI distress or any symptoms.
It is reversible, I think, to some degree or another, anyway.
I hear you about those favourite foods you suddenly couldn't eat. That happened to me too. It was coming on gradually. One "funny tummy" every few months. But suddenly overnight in early 2020 ibs started! I ate a really healthy diet and loved lentil stews, garlic and onions, lots of veggies, fruits of all kinds, avocado salads...etc. I suddenly coudn't eat them and had to navigate my way through diet changes, even including foods I would have shunned before as being "unhealthy options" !
The Low Fodmap diet helped to some extent. Maybe 50%? But I still had to work out my own personal food triggers, and which foods I was fine on. I did manage to find a pretty good balanced diet for myself even if it is more restricted than it used to be. I take a vitamin/mineral supplement also every day.
Oh, and I found some chips I could eat!! My supermarket here in the UK does frozen chips with nothing added. They contain only potato, and a small amount of sunflower oil. They are oven-bake and really nice. I was amazed I could eat chips again!