is this true?

from your first link under Iodine and lipids:

"One of the ways to measure the number of double bonds in fat is to measure the amount of Iodine 100 grams of fat will take up. This is called the Iodine number or value. The most unsaturated fat has the highest iodine value. Dietary fat removes iodine from the diet. Iodine protects double bonds while they are being transported to the sites where they are needed such as blood vessels and synaptic membranes of the central nervous system."

does dietary fat remove iodine from the diet?