I personally started out with triton and used it for a good 6 months. I would say it works; and not having to do water changes was a very convenient benefit. However, my experience was, as mentioned by many above, the coral do survive, but they really don't thrive much. Being quite a "type A"/OCD kind of person, I have to say that I did feel extremely liberated when I took the leap to conventional dosing/water change, and I actually see a significant improvement in growth/colour as well.
Triton does give you rather stable conditions (though not optimal) which allowed me to have a good start to reefing as it did allow me some time to slowly adjust and understand how a marine environment actually worked. So, many of the initial teething/running in issues could be sorted out and the tank stabilized before I had to actually fuss about each individual element/parameter.
Personally, I had no regrets using Triton. I am saying that its a feasible method that actually works, but if you want to have more control over your tank or want to move on to more advanced/difficult coral, then it wouldn't be as suitable.
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