With respect to iodine, I'm not sure how to reconcile the numbers coming from Triton and those attained with kits, except by assuming that there may be significant organic iodine forms (which Triton detects but kits do not) in some aquaria since some of those folks are not dosing and yet get well above natural levels (and do not detect much with a kit).
As to having none, I do not know if that is an error or not, but their limit of detection is only 0.006 ppm (6 ug/L), which is about 1/10 of the natural level of 0.06 ppm. (and 1/4 of your previous reading). It would not surprise me if in a tank not dosing iodine and having organisms, such as algae, that take it up, that this low level was attained. I've certainly tracked iodide to be rapidly depleted.