Take a look at some of my posts on the touring exhaust crossover. We eventually determined that the touring and roadster crossover were the same, right down to the manufacturing stamp on them. I posted a pic of the stock crossover showing the internals. Basically it is a hollow box with three pipes. I does not direct the exhaust flow and my only guess is triumph uses it for a resonator box, because it does quiet the exhaust tone. My D&D pipes were noticeably louder after I fabbed my own crossover pipe,,,,,but it also (as my last dyno session proved) produced a lot more free-flowing exhaust and more power.
Didn't you just say that it didn't direct the exhaust flow. If it doesn't how does it restrict the flow?