Note that some mistakes are correctable—if you see 99 blue eyes, and two of them leave on the next boat, you know those were errors and don’t change your behavior at all—you’re still uncertain between 99 and 100 blue eyes (originally) on the island.
I think this means that the logic remains the same as long as the error rate is low enough that you can distinguish errors from group-similar actions. For instance, if so many leave that there are no other blue eyes visible by day 98, you will get no further evidence on whether your eyes are blue or not.
edit: on reading your comment more closely, this is mostly a repetition.
Note that some mistakes are correctable—if you see 99 blue eyes, and two of them leave on the next boat, you know those were errors and don’t change your behavior at all—you’re still uncertain between 99 and 100 blue eyes (originally) on the island.
I think this means that the logic remains the same as long as the error rate is low enough that you can distinguish errors from group-similar actions. For instance, if so many leave that there are no other blue eyes visible by day 98, you will get no further evidence on whether your eyes are blue or not.
edit: on reading your comment more closely, this is mostly a repetition.