This article[1], paragraph 2:

    Even as many doctors subscribe to the myth that eating
    fat and cholesterol leads to gallstones, research 
    indicates that eating too little fat and too many 
    carbohydrates in the form of grains, sugars and 
    starches actually leads to gallbladder ailments. ...

Or on WebMD from over a decade ago [2] .. as to the saturated fats... generally animal sources of fats are about half or less saturated, and generally a good mix.

[1] https://www.atkins.com/how-it-works/library/articles/dealing...

[2] https://www.webmd.com/digestive-disorders/news/20041004/more...