What a beautiful display of reefkeeping!
While I have been skimmerless for more than 30 years, I have never achieved displays to that level of beauty. It is a testimony to the keeper of the reef. The title of Reef Aquarium Volume 3 says it in a differrent way, "Science, Art and Technology". When one looks at so many beautiful systems with seemingly conflicting methods to maintain them, the one component that stands out is the keeper of the reef. Even with methods that are poor, if the reefkeeper works hard enough, some bad methods can be compensated for by good husbandry. To your point about the skimmer removing beneficial things which you dose, as has been pointed out, it is a Question of Balance. That is where the Art comes into the equation. While it may be difficult to quantify with scientific equations, the beauty of your tanks is the testimony that "you got it right".
In your analogy of not wanting to remove beneficial things from the water, I discontinued the practice of RO/DI as a required protocol more than 20 years ago. My use of aquifer groud water straight into the tank was first motivated by economics, but I could not buy into the science that abounded in the hobby. My present well is 900' deep in Edwards Plateau limestone formed from an ancient ocean that covered the Texas Hill Country. I do little chemical testing in my aquariums. As I am Cajun, French twice removed, I am a "laissez faire" reefkeeper. I have had both the Lower Colorada River Authority and Ward Lab analyse my water: TDS at 26,040 ppm. Na at 9227 ppm, K at 428 ppm, Ca at 393 ppm, Mg at 1266 ppm, Sulfate at 1067 ppm. Why would I want to remove these constituents from the water? Everything that grows, needs them. The fertilizers which are a nuisance but still required to fuel growth in our reef aquariums measured at undetectable levels: Nitrate <0.01 ppm, Ortho Phosphorus < 0.01, Total Phosphorus < 0.01 ppm, Total Iron .02 ppm, Manganese < 0.01 ppm.
Obviously, some of the aquarium hobby science is not etched in stone. You need no further proof of the science in your tank then the beautiful display that you maintain.
I really like your using a gravity feed from your refugium to display tank. Instead of a return pump damaging the micro fauna and fana produced in the refugium, zooplankton is introduced without damage.
Viva la difference,
Patrick