Air flow x aperture size = velocity (or something like that). The theoretical "air movement" principles on paper are fine, but we're not trying to move air around, we're trying to move fluid and solid matter. If you haven't got enough velocity you can't shift heavy stuff like fluids.
Vac motors have to create a vacuum in the system before anything happens. 2" hose has roughly twice the internal volume of 1.5" hose, therefore it takes twice as much effort to create a vacuum in that space.
Yes, the air flow resistance of 2" hose is much less but without velocity and with the longer time taken to build up a vacuum when the wand is placed on the carpet, performance is reduced but in a different way
The proof of the pudding... when I have tried using my Ninja with 2" hose and wand, it ends up with loads of dirty water sitting in the hose which you have to hold up in the air and "tip" back towards the machine before you switch it off, otherwise you'll end up with it dribbling all over the place!
Interesting that you have found different Nevil - was it a 2 vac machine in series or parallel? Parallel would definitely be much more suited to 2"