I have one of those and the rotation belt does not fit vertically the 70-200F4 IS.
I take that bag to a Vietnam 10 day trip as my only bag. No problem at all onboard the planes... TAP A320 , Air France B777, Jet Star A320.
My gear was 1Dx , 24-105L , 70-200L IS , 100L , 50
All on rotation belt except 70-200 on the side in a Lens Switch Case
Enjoy your trip