You've answered my question well enough. True, I just think it looks like a piece of crap. I trust you're not related to it, so no personal insult meant there. I don't see the point of the box and don't really know what's inside it or how it affects the flow. Does anyone? At least a couple of people here were keen to get rid of it.
I don't know what Triumph intended, only that for the standard R3's, they made performance mufflers and a "so-called" performance crossover. I think Triumph's intentions are hard to understand sometimes. They come out with a new model, the Roadster, but restrict the power. Then two years later, they decide to re-instate that power.