The problem is that it was routed though an odd angle before they finished the drywall it looks like, so to route it, I'd have to cut an additional hole in the wall/ceiling, of where I'm not 100% sure exactly to cut.
I think they added built-in bookshelves after they did this, so they probably cut the holes for the book-shelves, ran the coax, then finished the built-ins. Otherwise, I wouldn't have messed with the existing cable at all, and just routed new!