If you are keeping SPS, get ready for a life of dosing and testing. If you only have a small population of SPS, you can get away with water changes but they prob won't grow very quickly or have the coloration you want from them. But, like most things, you can get as anal as you want with it... some are happy just having SPS and aren't worried about optimum growth and optimum color.
My work on my tank for sure increased 10-fold after I went heavy on SPS. I dosed manually, then went with dosing pumps, now I run a calcium reactor. Also went from timers, to a controller. Now that almost everything is automatic and stabilized, I test monthly versus biweekly to weekly like I used to. But, that was about 6 months of heavy testing and thousands of dollars of equipment before I got to that point.
Getting back to your main issue however, I would agree with most, you prob have a ULNS and the coral are in shock because I'm going to guess it perhaps happened on the quicker side of things? Adding GFO and vodka dosing is typically initially applied incrementally and I can't tell by your post if you had the time to do that or not. When I tried to vodka dose, the initial removal of nitrates/phosphates from the water bleached out one or two of my LPS as well. They recovered just fine. I do however feed my tank everyday and have plenty of fish to add nutrients back into the water. I have also switched to biopellets as my carbon source instead of vodka. Lot less work in my opinion. And some actually advise to use carbon dosing methods to bring down your levels in your tank, but as a periodic method, not a continuous one. I just run mine continuous, but at a lower than advised amount (biopellets). If I was vodka dosing, I'd use it to initially bring down levels in my tank, then reduce my dosing drastically to more of a maintenance dosing amount.
One thing though, I'd just be careful of adding the kalk to your system without really knowing what your calcium and alkalinity levels are. I compare it to adding salt to something your cooking without actually tasting it first. The food maybe a little saltier than you want! But the repercussion is not as simple as throwing away your food and ordering pizza, it's the death of your corals.
As always, just my 2 cents and my experience with things. I am not by any means an expert. Also, I ditched biology for technology. Subsea is a great source for biology versus technology.
-Ty