Shifting the drive from right to left means the drive shaft is spinning in the opposite direction. The LC engine rocks to the bike to the left when you blip the throttle, which I understand is the same as earlier models (correct me if I’m wrong) so the engines spin in the same direction. I suspect then that swapping the side is an outcome of the drive train arrangement in the LC engines (1200 and 1250) - primary drive, clutch and input/output gear shaft arrangements (rotation direction swaps with each gear interface) in what is a completely different gearbox to earlier models. The outcome of shifting the silencer to the right then becomes a very convenient result of the engineering - and who hasn’t melted their wet weather pants on a silencer. Incidentally, the dry-clutch/separate-gearbox R18 has the shaft on the right like the air/oil cooled Boxers that precede the LC.
Rather than cooling considerations, placing the inlets above the head and exhausts below achieves a downdraft effect, which makes use of gravity to assist gas flow and hence aid cylinder filling during the inlet phase.