Gtinnel, I really don't test parameters except calcium and alk and even those it is rare. For the majority of my tanks life, maybe the first 40 years I didn't test anything except maybe nitrate occasionally.
But I see many cycles not only with GSPs but with everything.
I can give some examples. See here in my tank maybe 35 or so years ago. I had those leather corals growing out the top of the tank. They grew for a few years and all of a sudden they shrunk and eventually disappeared and something else, maybe star polyps or mushrooms (I don't remember) took over.
There was a few years when these acropora's grew like weeds. I hardly had to buy any as I had to many and had to keep cutting them. Then they shrunk and now I only have a few very slow growing ones.
This thing was a tiny mushroom for years, all of a sudden it grew 10" and stayed like that for a few years. Then it shrunk down to an inch or two.
A few years ago montipora covered my tank. Now it is gone.
Those two above pictures are reversed.
See the algae here? It covered everything and drove me nuts. Then disappeared with no help from me.
Most people don't keep a tank long enough to notice cycles but I never change my practices so I have no idea what causes it. But if you only keep a tank for 5 or 6 years, you won't see anything.
I personally think it has something to do with the coral themselves. As you know all corals exude chemicals into the water and those chemicals are designed to keep other corals from overgrowing them. Maybe in certain times with certain corals those chemicals are either stronger or more specifically designed to repel a type of coral we are keeping. I am guessing here but it is my only explanation and we almost never discuss coral wars which is a very real thing as far as corals are concerned.
Remember corals spawn in relation to cycles of the moon, maybe they get confused in a tank, I don't know.
We only discuss parameters but the sea is way more complex than parameters and those things we can't measure and I am sure that is the reason some of us can't keep certain corals while others have problems with them overgrowing a tank.
Mushrooms come to mind. Sometimes they are a pest and we can't get rid of them and some of us (like star polyps) won't grow no matter what we do.