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."
Read this for more information about Gallstones and their solubility.