Fifth freedom flights:
mel-dxb-lhr QF9
gru-asu-bog JJ8012/3
jfk-yvr-hkg CX889
hkg-bkk-cmb UL891
So 21 flight segments but still valid for the "16 segment" rule.
This would obviously add miles to your total distance. But that raises the question: why? If it's just for the thrill [???] of sitting that much longer in an aeroplane, then ... OK. But for most of us the idea of 'maximising' an RTW is connected to the idea of garnering as many frequent flyer points as possible. With those one-flight-number-but-two-segment routings, does the frequent flyer programme give points based on AB + BC, or do they simply calculate the direct AC distance?