This is a good topic to discuss. But I need to remind myself of the specifics of using Sisyphus as the example. This is the person who repeatedly pursued political power, right? Which is the reason for the title of the article "Not all politicians are Sisyphus...."
But do we have a good fix on "why" the person in the political example wants power? And that's where I am forgetting why Sisyphus was pushing the rock too.
So where I am going is that I would see the decision as to whether to "stop pushing" is very closely tied to the reason for the pushing in the first place. And so it might be good to comment more specifically on Sisyphus to help unravel that.