Valid points, all of them.
No, I have not done ICP, and agree that might tell me a lot. I freely admit there is a lot that I don't know and this could be due to something I'm not thinking about and/or something I'm not seeing.
I keep track using Aquarimate, and everything over the past few years has been steady. But to give you an idea here the latest parameters read as follows:
Nitrate: 13.5 (Hanna)
Phosphate: 0.07 (Hanna)
Calcium: 460 (Hanna)
Alkalinity: 8.7 (Hanna)
Magnesium: 1350 (AquaForest)
Salinity: 1.026 (refractometer calibrated w/ BRS 35ppt calibration fluid)
pH: 8.14 (pHep+)
Temperature: 79.2 (pHep+, and thermometer)
I rotate feeding about 6-8 different kinds of frozen food, once daily, at night, and I use Hikari almost exclusively as I am a big believer in the cleanliness and nutritional value of their food.
I dose ESV 2-Part, about 18mL per day of each, divided into 12 doses each over 24-hour period (i.e., every 2 hours, 5 mins apart from each other). I acknowledge that ESV does contain trace elements, which over time absolutely can accumulate. I do perform 10G water changes monthly, and I use AquaForest salt mix (regular stuff, no enzymes or anything like that).
My tank is in my family room and I'm looking at it every single day, and the only thing that I can remember adding that made a difference in the appearance and health of my tank (in a before/after kind of way) was the Mandarin.
Appreciate any further thoughts you might have.
I am using the balling light method by fauna marin, and even though my solutions contain 150% recommended trace elements, my last icp has shown a depletion of almost all of them. Not saying your favia died because of that but there is always the possibility. When it comes to diatoms: is your RODI system in proper condition?