Hehe yeah, cause from the first 3 movies, well, the first one he wanted to get the Pearl back, 2nd and 3rd movies, clearing his debt his Davy Jones and the 4th, dealing with Blackbeard. So I would assume something similar to the movies would be a reason as to why he'd be on the Spire of Winter in the first place.
But I'm sure I'll think of something, as Jack does have his compass that shows him what he wants the most sort of thing. But as I said, I'll think of something with him ^^
And I do wonder too, if the TV Tropes page should be updated again at some point as well.