I love this ahhh nothing could explain my thoughts better haha
It's easy to think at first that Guwon is Sisyphus since he was like a leader to the village, same as Sisyphus being the King of Ephyra (Corinth).
But then, I was thinking Guwon is more like Zeus. Like how Sisyphus betrayed him the same as Jinwoo betrayed Guwon. And how he escaped death probably more than twice before the finale where they finally fall down.
And the Hounds of Sisyphus doesn't technically mean the Hounds of Guwon but it's the repetitive struggle he's in that it's almost tormenting him (like how predators chase their prey).
There's so much I wanna talk about that I can't explain it bwahaha (Albert Camus' absurdity and the Sisyphus by Andrew Bird)
I'm changing my previous theory where i said Guwon is Sisyphus.
Reading up on the myth and reading the last few chapters, to me it becomes clear that Jinwoo is Sisyphus rather than Guwon. Seeing as he's the one who has to "restart" the timeline, since he brought the fall of the entire city (as described by him) and his punishment is to relive and feel all the pain from the very start.
At this point we need more info on how this whole cycle came to be, so we can be sure as to why Jinwoo was punished.
In the myth or rather the outcome of it is that to overcome the burden, laid upon Sisyphus, he must come to accept it.
It's so creative how the hill they both die on by jumping down from it, can symbolise the task given to Sisyphus: he has to push the boulder to the very top but before reaching it, it falls back own and he has to start all over!
So there's quite a lot that can still happen and personally I'm hoping for a happy end, even if it might seem far from our current point haha (=・ω・=)
(I'm not excluding the theory that BOTH could be symbolising Sisyphus and that they were both doomed to relive it over and over because of what THEY did in the past)