That "little amount" is large by most peoples standards.
Most sources claim that the half-life if Iodide in the body is 12 days, yet the loading test assumes that it should come out in one.
This test makes makes false presumptions and Bromine readings could very well be an artifact.
Dr. Brownstein is another shameless profiteer that has found a way to make money IMO.
If this forum was more factually based and headed by someone that didn't marginalize side effects and ridicule small doses than there would be less issues.
Your body removes halogens irregardless of whether Iodine is supplemented. The half-life of Bromide is the same as Iodide.