Speculations, hypotesis & skepticism will not help to find the answer? Will it?
What is the point in speculating, or asking a question that you know is without the answer?
What is the point in being skeptical when you are 24 hours away from the answer that will satisfy your and my skepticism?
Why don't you find the answer yourself? Is that so hard?
There is a simple & cheap way to satisfy your skepticism:
1. Next time you do a liver flush, add an extra ingredient: some harmless organic food coloring of a kind that is not affected by digestion. Boiled red beet juice is just that.
It comes out red, exactly the same color that comes in.
You can also add red pepper powder into oil, cause juice doesn't blend with oil easily. So, now you have 2 different colorings!
Then when the "stone"-like objects come out, if they are truly from the liver/gallbladder, cutting them open with a knife should reveal that the stones have green/yellow/white/brown/blue or black interiors but are stained on the outside with red. If they are red inside, (but are not soft like feces), chances are high that they were formed in the intestine during flush. You will know if stones are from your liver or not.
Beware that some Gallstones can also be of red color! There are no strict rules on the natural color of gallstones, and while green/yellow/blue (and black/white & brown) are most common, other colors are not excluded.
BUT, chances to get a red stone are really poor (one in a 10,000).
One more idea:
2. Now, take those stones and analyze them for presence of cholesterol.
If it contains cholesterol, it most likely is from your liver/gallbladder.
Then, come back here and discuss your results, without speculatins.