There's a good bit of "art" rather than "science" in reef keeping. Much like growing a garden and learning by experience what the particular vegetable plants are telling you by their appearance, growth rate, and yield, polyp extension, algal growth rate, coral color, and a great many other factors can be used to judge what a tank needs or doesn't need.
In my particular opinion, it's somewhat risky to use single-point assays, even using sophisticated scientific instruments like ICP, to determine the dosage of trace elements in an aquaria. There are several reasons for this - one is that most labs don't acidify their incoming samples. That means that some amount of metallic trace elements that are bound up in particulates in the water generally won't be quantitated. However, as these elements are depleted in the water column by the various lifeforms and/or abiotic processes, these particulates can re-dissolve. Perhaps a much more important reason to be cautious about dosing trace elements based on estimates of consumption from one or more ICP assays is that many trace elements in sea water are necessary for many lifeforms, but are toxic if they become too concentrated. There are many such trace elements, but the main one that many aquarists would be familiar with is copper. Copper is required as a co-factor for several necessary enzymes, but in extremely small quantities. And, of course, too much copper is deadly to most of our reef tank denizens.
The bottom line is that I think ICP is extremely useful for verifying a suspected metallic pollutant that is causing problems in the aquarium - copper from plumbing in a reefer's house/apartment, zinc from corroding fasteners and/or reef inappropriate equipment, etc...
I'm much more skeptical of using ICP as a maintenance tool over regular water changes. There's no doubt that in extremely skilled hands like the gentleman that started the Dutch Synthetic Reefing method, constant assaying of the system's water by a multitude of analytical tests with back-dosing of the individual elements does actually work, but in the hands of a reefer of average skill, water changes are far and away a much simpler (and cheaper) means of maintaining reef tanks in a healthy condition.
Note that this is not the same thing as thinking that water changes can keep up with minor (as opposed to trace) elements such as calcium, carbonates and magnesium. Those pretty much require testing and dosing in some fashion.