My take on the Triton Method is neither positive nor negative albeit it is another method for adding key additives to our boxes of water that help sustain the organisms we keep.
From my experience, and again this is just my personal 2 cents and every reef is different, I ran Triton for a year and did not work well for me. For some reason I could NEVER keep or grow any macro algae in my refugium and my SPS just didn't grow. The SPS were indeed colorful, but they just didn't grow and like I said neither did the algae. All I was ever able to grow in the refugium was red and green slime surface algae. Yes, I am using the Kessil H380 to light the fuge and water quality was within acceptable parameters. Again, to be clear, I'm not bashing Triton but it rather just didn't work for my ecosystem.
From a cost perspective, will Triton become more expensive as your colorful sticks grow and take up nutrients, yes.. of course it will. Same with ANY other method you choose to run on your systems. The more they grow, the more nutrients / additives our corals need to thrive. Then again, each reefer has varying budgets on what they spend on their reefs. For me, I get more bang for my buck with BRS 2 part.
What I've found works best for me is a refugium with strong (oversized) skimmer, ROX carbon, a dosing pump dosing BRS 2 Part and Zeovit additives (Pohl's Extra and AA LPS) throughout the day to keep things stable. In addition, I'm using the Triton ICP testing every couple of months to see where anything may be off and then using the different Triton elements (like Zinc, Bromine or Detox) to bring up / down any deficiencies to ideal levels. My corals are now growing like weeds.
Keep in mind, if you have a sand bed like I do, even with Triton, you will still need to do occasional water changes to remove the detritus build up from your sand bed.
