The nucleation of the bile occurs at a microscopic level and it is not the same as forming stones. Cholesterol Gallstones of any size take a long time to form and grow at a rate of around 2 mm a year. Consequently it is impossible to produce stones as fast as you flush if you flush on a regular basis. Bile taken orally will not cause the formation of stones in the gut. The purpose of the ox bile is to correct a deficiency in bile salts.
You have misunderstood the context f the post which is intended to inform the reader that people who produce cholesterol Gallstones have different bile to people that don't. I apologise for not making the information easier to understand but it is difficult to present all the information available in an unambiguous way.