Kinda appears the crossover pipe is just for looks
From what I understand from the exhaust designers the left side has an important roll in getting the exhaust gasses out.
Since the infamous "y-pipe" the purpose of the left side is simply to increase available volume for upper rpm operation.
As exhaust gets backed up from restriction on the right side exhaust can and does travel to the other side to relieve the pressure.
Works very well because the system is a true 2into1into2 that offers additional volume after the collector...more than a true 2into1 design.
Bob