Well, that's my point. The ambiguity only comes without the context or back story. Because earlier in the article (which doesn't exist) we've been describing the differences between American and British rock stars, and its the shenanigans of the former that are being pointed out. Either way, I was trying to choose a third example to show that combinatorially compounds like this are ambiguous. We tend to think of one meaning as being the right one, but that has little to do with the structure of the compound or its constituent lexical items, but more to do with its usage, or context in some story or text.