First of all. Gallstones that arn't calcified are only made up of cholestrol and fats. So when exposed to air an heat, they will melt. Nothing new here.
I have no idea why that person posted that video.
"The reason why liver stones are fats and cholesterol and only fats and cholesterol is because the other compounds are water-soluble, not fat-soluble. Water and fats don't mix. You can't have something that only mixes with water inside a fat glob."
-Shelley D
Read this for more information about Gallstones and their solubility.
Another point:
"Fact: Some Gallstones are too large to be flushed out.
Yes, a gallstone can be too large to exit gallbladder."
This is exactly why you must dissolve stones as much as possible before flushing. Dissolve using malic acid, Gold coin grass, and Lecithin so that stones can exit the bile ducts easily.