IMO and based on my research (I am not a Dr or in the medical field), these tests are for different indicators. Ferritin, as it relates to iron, is an indicator of your body's iron stores as stored in your organs. When making new RBC, your body takes iron from these stores to make the RBC, such as when you donate and need to make many new RBC due to loss.
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The blood is the transport mechanism for the iron.
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The other tests you mention have more to do with iron level in the blood and your blood's ability to carry more iron in the blood, namely is the blood's iron transport capacity saturated with iron. The amount of iron in your blood, such as iron serum is very small in relation to the iron stored in your organs (as indicated by ferritin levels). My Dr tests all the iron level indicators but is most concerned with ferritin.
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IMO, your blood can be saturated with iron because you are supplementing or just ate an iron rich meal . . . but your iron stores in your organ (indicated by ferritin) could be low because you donate blood often. Or, in my case, my blood was full of iron due to a very high absorption rate, and my ferritin was also high because I had been absorbing and storing too much iron for years. There are charts provide more info when one value is high and another low.
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IMO the one to watch is ferritin because you will need to draw on iron reserves to create new red blood cells if you donate and too much ferritin indicates too much iron, which can be toxic over time at high levels.
I am open to corrections if I am mis-stating something.