TIBC is an indirect measure of Transferrin so in hemochromatosis, Iron storage pools are high thus the liver isn't making Transferrin because it doesn't need to transport the iron to any tissue, thus TIBC is low.
In iron deficiency anemia iron storage pools are drained thus in an effort to transport more iron to the tissues that need it, the liver produces more Transferrin and thus TIBC is high.
In anemia of chronic disease, the body traps the iron so that the infective agent can't use the iron for it's own needs, thus Iron stores are high and transferrin is low because the stores are high, and thus TIBC is low.