Yes, that is my expectation, and I've never seen any data suggesting there's so much binding of iodine to GAC in a reef tank that it dominates the consumption of iodide.
Oceamo tested this and concluded that there is some binding, but that even with the equivalent of 10 gallons of GAC used in 100 gallons of seawater, that the total binding of iodide was only about a third of the total iodide present. That means that the binding to a couple of cups of GAC in 100 gallons over the entire time it is present, would be far less than the typical depletion of iodide, which is often more like 100% of the iodide present in a few days.
A simple calculation may not fully tell the story for several reasons, including that Christoph may have spiked the iodide prior to the study to better see the binding (which potentially inflates the binding amount) but if consumed at the Oceamo rate, 2 cups of GAC used for 3 weeks in a 100 gallon aquarium would only consume 0.01% of the iodide present per day.
Christoph concluded:
The impact on iodine (present primarily as iodide) was less than is often assumed.
https://en.oceamo.com/reaktormedien2/
@Christoph