I don't think we can semplify everything into "it was the Fates trying to course correct".
On the one hand, in greek mythology Zeus does not have a prophecy hanging over his head like Kronos did. All the prophecies Zeus defies/misdirects are actually focused on other people: Metis and her second child; Thetis and her child. (Unless you count the Prometheus Bound, which as far as I know is the only piece of literature where it is explicitly prophetized that Zeus will be overthrow).
On the other hand, the Greeks had a cyclical idea of time: like day follows the night, like the season all cycle into each other, all events will sooner or later return in some way.
So why does the cycle of succession in Greek mythology seem to stop with Zeus?
Well, the simple answer is that he appears to have broken the cycle.
The essay "Children of Zeus in the Homeric Hymns - Generational succession" by N. Felson breaks down the steps that characterize the succession myth. There are two crucial steps at the beginning:
The father hates and/or fears his sons.
The father tries to obliterate these sons.
In actual Greek mythology, Zeus never does either of these, so the cycle never starts and he stays in power forever.
Furthermore, Kronos' reign was a "Golden age" because he allowed for no threat but also no progress to manifest, and everything stagnated. Zeus instead allowed humanity to develop and grow.
(I swear I am getting to a point, just stay with me a bit more)
Coming back to the Riordanverse, we are shown an Olympus on the way of decay and gods who have long lost their old glory and are almost shadows of themselves.
Zeus especially, has started to follow in his father's footsteps and has become a tyrant, intolerant of any opposition and incurant of humanity and the demigods.
I think the events that happen in the series are the final dominoes in a long series, that starts when the Ancient laws are put in place and the contacts between the gods and humanity are restricted. As the gods are forgotten and lose more and more power over centuries, Zeus becomes more and more afraid and therefore paranoid that he is going to lose his throne. Therefore, he starts to be more oppressive towards his family - his subjects -, who in turn lose faith and trust in him and become more and more willing to go behind his back.
When Kronos' threat re-emerges after millenia, we see a lot of gods breaking the laws and helping the demigos behind Zeus' back.
At a certain point (I would bet after TTC, when Artemis is kidnapped and Apollo can do practically nothing to find and help her directly), Apollo realizes that he needs more power to protect his loved ones. So what does he do?
He tries to get more power. He is already one of the most popular Greek Gods, so he looks to expand into the Roman Camp where he is regarded almost as a secondary god. He talks to Octavian. He helps the augur rise in the ranks.
And it all spectacularly backfires when Gaea chooses to makes herself known again after millennia.
For the first time, the gods are helpless and completely dependant on the demigods to be saved. Once the Giants are defeated, Zeus needs a show of force to prove that he has not lost control, the he is still the king, the most powerful one, and the he will be obeyed.
And in a single, masterful move, he both finds a scapegoat and elimates the biggest threat to his rule.
The one who went behind his back and flaunted his laws the most.
The one whose sight is farther and whose knowledge is greater than Zeus' himself.
The one who has proven he desires greater power and is actually willing to act to get it.
Of course, Zeus cannot eliminate Apollo directly or the other gods would revolt against him. So he finds an excuse. And there is just the perfect one!
Apollo is a god of prophecy, and what has caused all the trouble of the past few years?
The incredible effectiveness of this manipulation resides in the fact that Apollo has been neglecting his oracles. It is not implausible to think that he has lost control of them. Everyone can see that Zeus has a point and Apollo needs to be punished, right?
Here is were we get to the real tragedy.
Do you remember what I said before, about the cycle of succession? Do you remember the steps that make it begin?
The father fears his sons.
The father tries to obliterate his sons.
Blinded by his paranoia and his desperate desire to keep power to himself, Zeus kickstarts the succession cycle entirely on his own!
And like for his father and grandfather, his attempt to suppress his son backfires spectacularly.
When Apollo pulled himself up from Chaos he did not just gain back his divinity. He finally has a purpose. He knows who he is and what he wants. He is reborn into the god he wants to be.
I think to justify all this as "it was the Fates' plan all along" does a disservice to Apollo and to the series. The theme of defying Fate is important in Trials of Apollo. Jason dies because he cannot see his prophecy ending any other way and just accpts that's what's going to happen. Frank survives even if his piece of wood is destroyed.
Individual actions and beliefs matter.
Some events are destined, but prophecies are mere sketches and not the finished picture. The guidelines on the weft of the universe, and not the complete weave.
How they manifest in practice, how the sketch on the canvas is filled in, to continue with the metaphor, depends on what every person chooses to do.
Some sequences are fixed and taking the first step will eventually lead to a second and a third and so on till a predtermined ending. But people can choose to take that first step or to abstain.
Thalia refused the Great Prophecy while Percy took it upon himself.
A young Zeus refused to follow in his father footsteps, and the old Zeus is on the path of ruin.
It's not all predetemined. People have choices.
And those choices have consequences.
