As I stated earlier in this thread, that binding is not pertinent to our situation. Yes, GAC is very well known to bind iodine as I2. There is a standard test of GAC surface area that involves seeing how much I2 can bind when nothing else is competing for binding sites (the Iodine Number). But we do not have the form I2 in seawater, and we have huge amounts of similarly looking ions (chloride, etc.) to compete for binding sites. The video is not looking at the forms we have in seawater
There's no evidence, and I think it unlikely, that GAC binds appreciable amounts of the forms of iodine we have (colorless iodide and iodate) from seawater. :)