I have started doing something similar to the Triton method that I started in May of this year. After getting a Triton test done I started adding the few elements I was low on. K, Sr, Mo, I and a little Fe. I've left S, V, Mn, Ni & Zn alone. They were a little low but no way to regularly test for them.
The one area major I differ is I've done two water changes in that time and have an ATS running. I got another test done mid-August and the things I was off on in May were much closer to being inline. The only thing I'm a little concerned about is elevated Lithium in both tests. Everything I've read says this is common with US based salt mixes. I may switch from Reef Crystals to something else but I haven't made up my mind yet. Keep in mind I still consider myself a noob and my tank has only been up and running since 6/1/16. But since I stopped using GFO and got the ATS going things have been going much better for me. This could be the tank maturing and the results of my learning curve though. In the end I feel there is no true replacement for at least some water changes. There can be things in the water that Triton does not test for. These things, like formaldehyde or other pollutants, can get into the water from the air in our homes. By doing water changes you will be able to dilute the buildup of these bad chemicals.
I would continue to read up on people that have been using the method longer term along with following the BRS tests. Hopefully someone that has been doing it locally will chime in too.